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Simplifying 0 = 3(x + 2) + -2(x + -4) Reorder the terms: 0 = 3(2 + x) + -2(x + -4) 0 = (2 * 3 + x * 3) + -2(x + -4) 0 = (6 + 3x) + -2(x + -4) Reorder the terms: 0 = 6 + 3x + -2(-4 + x) 0 = 6 + 3x + (-4 * -2 + x * -2) 0 = 6 + 3x + (8 + -2x) Reorder the terms: 0 = 6 + 8 + 3x + -2x Combine like terms: 6 + 8 = 14 0 = 14 + 3x + -2x Combine like terms: 3x + -2x = 1x 0 = 14 + 1x Solving 0 = 14 + 1x 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. 0 + -1x = 14 + 1x + -1x Remove the zero: -1x = 14 + 1x + -1x Combine like terms: 1x + -1x = 0 -1x = 14 + 0 -1x = 14 Divide each side by '-1'. x = -14 Simplifying x = -14
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