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Simplify: 2(4x-5)-3(x-1)+x

Simplify: 2(4x−5)−3(x−1)+x 2(4 x-5)-3(x-1)+x

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Full solution

Q. Simplify: 2(4x−5)−3(x−1)+x 2(4 x-5)-3(x-1)+x
  1. Distribute and Simplify: First, distribute the 22 into the expression (4x−5)(4x-5) and the −3-3 into the expression (x−1)(x-1).2(4x−5)2(4x-5) becomes 8x−108x - 10 and −3(x−1)-3(x-1) becomes −3x+3-3x + 3.
  2. Add Simplified Expressions: Next, add the simplified expressions together along with the additional xx. So, we have 8x−10−3x+3+x8x - 10 - 3x + 3 + x.
  3. Combine Like Terms: Combine like terms. The xx terms (8x8x, −3x-3x, and xx) combine to 6x6x. The constant terms (−10-10 and +3+3) combine to −7-7.\newlineSo, we get 6x−76x - 7.

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