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Simplifying -3(x + -4) + 2(x + -4) = 6 Reorder the terms: -3(-4 + x) + 2(x + -4) = 6 (-4 * -3 + x * -3) + 2(x + -4) = 6 (12 + -3x) + 2(x + -4) = 6 Reorder the terms: 12 + -3x + 2(-4 + x) = 6 12 + -3x + (-4 * 2 + x * 2) = 6 12 + -3x + (-8 + 2x) = 6 Reorder the terms: 12 + -8 + -3x + 2x = 6 Combine like terms: 12 + -8 = 4 4 + -3x + 2x = 6 Combine like terms: -3x + 2x = -1x 4 + -1x = 6 Solving 4 + -1x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 6 + -4 -1x = 6 + -4 Combine like terms: 6 + -4 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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