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Rewrite in simplest terms: 0.5(-6x-9x+4)-0.4 x Answer:

Rewrite in simplest terms: 0.5(−6x−9x+4)−0.4x 0.5(-6 x-9 x+4)-0.4 x \newlineAnswer:

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Factor variable expressions using the distributive propertyright chevron icon

Full solution

Q. Rewrite in simplest terms: 0.5(−6x−9x+4)−0.4x 0.5(-6 x-9 x+4)-0.4 x \newlineAnswer:
  1. Combine like terms: Combine like terms within the parentheses.\newlineWe have −6x-6x and −9x-9x which are like terms, so we add them together.\newline−6x−9x=−15x-6x - 9x = -15x\newlineSo the expression within the parentheses simplifies to −15x+4-15x + 4.
  2. Distribute 0.50.5: Distribute the 0.50.5 across the terms inside the parentheses.0.5×(−15x)+0.5×4=−7.5x+20.5 \times (-15x) + 0.5 \times 4 = -7.5x + 2
  3. Combine terms: Combine the result from Step 22 with the remaining term −0.4x-0.4x.\newlineWe have −7.5x-7.5x from the distribution and −0.4x-0.4x outside the parentheses.\newline−7.5x−0.4x=−7.9x-7.5x - 0.4x = -7.9x
  4. Add constant term: Add the constant term from Step 22 to the expression.\newlineWe have −7.9x-7.9x from Step 33 and +2+2 from Step 22.\newlineThe final simplified expression is −7.9x+2-7.9x + 2.

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