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Simplifying 2(x + 4) + -5(x + -7) = -2(x + -1) Reorder the terms: 2(4 + x) + -5(x + -7) = -2(x + -1) (4 * 2 + x * 2) + -5(x + -7) = -2(x + -1) (8 + 2x) + -5(x + -7) = -2(x + -1) Reorder the terms: 8 + 2x + -5(-7 + x) = -2(x + -1) 8 + 2x + (-7 * -5 + x * -5) = -2(x + -1) 8 + 2x + (35 + -5x) = -2(x + -1) Reorder the terms: 8 + 35 + 2x + -5x = -2(x + -1) Combine like terms: 8 + 35 = 43 43 + 2x + -5x = -2(x + -1) Combine like terms: 2x + -5x = -3x 43 + -3x = -2(x + -1) Reorder the terms: 43 + -3x = -2(-1 + x) 43 + -3x = (-1 * -2 + x * -2) 43 + -3x = (2 + -2x) Solving 43 + -3x = 2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 43 + -3x + 2x = 2 + -2x + 2x Combine like terms: -3x + 2x = -1x 43 + -1x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 43 + -1x = 2 + 0 43 + -1x = 2 Add '-43' to each side of the equation. 43 + -43 + -1x = 2 + -43 Combine like terms: 43 + -43 = 0 0 + -1x = 2 + -43 -1x = 2 + -43 Combine like terms: 2 + -43 = -41 -1x = -41 Divide each side by '-1'. x = 41 Simplifying x = 41
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