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Simplifying -1(x + 5) = 2(x + -7) + 9 Reorder the terms: -1(5 + x) = 2(x + -7) + 9 (5 * -1 + x * -1) = 2(x + -7) + 9 (-5 + -1x) = 2(x + -7) + 9 Reorder the terms: -5 + -1x = 2(-7 + x) + 9 -5 + -1x = (-7 * 2 + x * 2) + 9 -5 + -1x = (-14 + 2x) + 9 Reorder the terms: -5 + -1x = -14 + 9 + 2x Combine like terms: -14 + 9 = -5 -5 + -1x = -5 + 2x Add '5' to each side of the equation. -5 + 5 + -1x = -5 + 5 + 2x Combine like terms: -5 + 5 = 0 0 + -1x = -5 + 5 + 2x -1x = -5 + 5 + 2x Combine like terms: -5 + 5 = 0 -1x = 0 + 2x -1x = 2x Solving -1x = 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. -1x + -2x = 2x + -2x Combine like terms: -1x + -2x = -3x -3x = 2x + -2x Combine like terms: 2x + -2x = 0 -3x = 0 Divide each side by '-3'. x = 0 Simplifying x = 0
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