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Simplifying -2(x + -6) = 3(x + 4) + -9 Reorder the terms: -2(-6 + x) = 3(x + 4) + -9 (-6 * -2 + x * -2) = 3(x + 4) + -9 (12 + -2x) = 3(x + 4) + -9 Reorder the terms: 12 + -2x = 3(4 + x) + -9 12 + -2x = (4 * 3 + x * 3) + -9 12 + -2x = (12 + 3x) + -9 Reorder the terms: 12 + -2x = 12 + -9 + 3x Combine like terms: 12 + -9 = 3 12 + -2x = 3 + 3x Solving 12 + -2x = 3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + -2x + -3x = 3 + 3x + -3x Combine like terms: -2x + -3x = -5x 12 + -5x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -5x = 3 + 0 12 + -5x = 3 Add '-12' to each side of the equation. 12 + -12 + -5x = 3 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = 3 + -12 -5x = 3 + -12 Combine like terms: 3 + -12 = -9 -5x = -9 Divide each side by '-5'. x = 1.8 Simplifying x = 1.8
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