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Simplifying 3(x + 4) + -2(x + -1) = 13 Reorder the terms: 3(4 + x) + -2(x + -1) = 13 (4 * 3 + x * 3) + -2(x + -1) = 13 (12 + 3x) + -2(x + -1) = 13 Reorder the terms: 12 + 3x + -2(-1 + x) = 13 12 + 3x + (-1 * -2 + x * -2) = 13 12 + 3x + (2 + -2x) = 13 Reorder the terms: 12 + 2 + 3x + -2x = 13 Combine like terms: 12 + 2 = 14 14 + 3x + -2x = 13 Combine like terms: 3x + -2x = 1x 14 + 1x = 13 Solving 14 + 1x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 1x = 13 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = 13 + -14 1x = 13 + -14 Combine like terms: 13 + -14 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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