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Simplifying -3(x + -6) = 2(x + 4) Reorder the terms: -3(-6 + x) = 2(x + 4) (-6 * -3 + x * -3) = 2(x + 4) (18 + -3x) = 2(x + 4) Reorder the terms: 18 + -3x = 2(4 + x) 18 + -3x = (4 * 2 + x * 2) 18 + -3x = (8 + 2x) Solving 18 + -3x = 8 + 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. 18 + -3x + -2x = 8 + 2x + -2x Combine like terms: -3x + -2x = -5x 18 + -5x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + -5x = 8 + 0 18 + -5x = 8 Add '-18' to each side of the equation. 18 + -18 + -5x = 8 + -18 Combine like terms: 18 + -18 = 0 0 + -5x = 8 + -18 -5x = 8 + -18 Combine like terms: 8 + -18 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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