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Simplifying 2(x + -6) = -1(x + -9) Reorder the terms: 2(-6 + x) = -1(x + -9) (-6 * 2 + x * 2) = -1(x + -9) (-12 + 2x) = -1(x + -9) Reorder the terms: -12 + 2x = -1(-9 + x) -12 + 2x = (-9 * -1 + x * -1) -12 + 2x = (9 + -1x) Solving -12 + 2x = 9 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -12 + 2x + x = 9 + -1x + x Combine like terms: 2x + x = 3x -12 + 3x = 9 + -1x + x Combine like terms: -1x + x = 0 -12 + 3x = 9 + 0 -12 + 3x = 9 Add '12' to each side of the equation. -12 + 12 + 3x = 9 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = 9 + 12 3x = 9 + 12 Combine like terms: 9 + 12 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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