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Simplifying 2(12 + -1x) = -76 + -1x (12 * 2 + -1x * 2) = -76 + -1x (24 + -2x) = -76 + -1x Solving 24 + -2x = -76 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 24 + -2x + x = -76 + -1x + x Combine like terms: -2x + x = -1x 24 + -1x = -76 + -1x + x Combine like terms: -1x + x = 0 24 + -1x = -76 + 0 24 + -1x = -76 Add '-24' to each side of the equation. 24 + -24 + -1x = -76 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = -76 + -24 -1x = -76 + -24 Combine like terms: -76 + -24 = -100 -1x = -100 Divide each side by '-1'. x = 100 Simplifying x = 100
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