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Simplifying 2(32 + -1x) = 1(76 + -3x) (32 * 2 + -1x * 2) = 1(76 + -3x) (64 + -2x) = 1(76 + -3x) 64 + -2x = (76 * 1 + -3x * 1) 64 + -2x = (76 + -3x) Solving 64 + -2x = 76 + -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. 64 + -2x + 3x = 76 + -3x + 3x Combine like terms: -2x + 3x = 1x 64 + 1x = 76 + -3x + 3x Combine like terms: -3x + 3x = 0 64 + 1x = 76 + 0 64 + 1x = 76 Add '-64' to each side of the equation. 64 + -64 + 1x = 76 + -64 Combine like terms: 64 + -64 = 0 0 + 1x = 76 + -64 1x = 76 + -64 Combine like terms: 76 + -64 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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