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Simplifying -6(x + -12) + 2(x + 2) = x + -9 Reorder the terms: -6(-12 + x) + 2(x + 2) = x + -9 (-12 * -6 + x * -6) + 2(x + 2) = x + -9 (72 + -6x) + 2(x + 2) = x + -9 Reorder the terms: 72 + -6x + 2(2 + x) = x + -9 72 + -6x + (2 * 2 + x * 2) = x + -9 72 + -6x + (4 + 2x) = x + -9 Reorder the terms: 72 + 4 + -6x + 2x = x + -9 Combine like terms: 72 + 4 = 76 76 + -6x + 2x = x + -9 Combine like terms: -6x + 2x = -4x 76 + -4x = x + -9 Reorder the terms: 76 + -4x = -9 + x Solving 76 + -4x = -9 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 76 + -4x + -1x = -9 + x + -1x Combine like terms: -4x + -1x = -5x 76 + -5x = -9 + x + -1x Combine like terms: x + -1x = 0 76 + -5x = -9 + 0 76 + -5x = -9 Add '-76' to each side of the equation. 76 + -76 + -5x = -9 + -76 Combine like terms: 76 + -76 = 0 0 + -5x = -9 + -76 -5x = -9 + -76 Combine like terms: -9 + -76 = -85 -5x = -85 Divide each side by '-5'. x = 17 Simplifying x = 17
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