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Simplifying -5(x + -7) = 2(2x + 3) + x + 7 Reorder the terms: -5(-7 + x) = 2(2x + 3) + x + 7 (-7 * -5 + x * -5) = 2(2x + 3) + x + 7 (35 + -5x) = 2(2x + 3) + x + 7 Reorder the terms: 35 + -5x = 2(3 + 2x) + x + 7 35 + -5x = (3 * 2 + 2x * 2) + x + 7 35 + -5x = (6 + 4x) + x + 7 Reorder the terms: 35 + -5x = 6 + 7 + 4x + x Combine like terms: 6 + 7 = 13 35 + -5x = 13 + 4x + x Combine like terms: 4x + x = 5x 35 + -5x = 13 + 5x Solving 35 + -5x = 13 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 35 + -5x + -5x = 13 + 5x + -5x Combine like terms: -5x + -5x = -10x 35 + -10x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 35 + -10x = 13 + 0 35 + -10x = 13 Add '-35' to each side of the equation. 35 + -35 + -10x = 13 + -35 Combine like terms: 35 + -35 = 0 0 + -10x = 13 + -35 -10x = 13 + -35 Combine like terms: 13 + -35 = -22 -10x = -22 Divide each side by '-10'. x = 2.2 Simplifying x = 2.2
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