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Simplifying 12 + -3(x + 1) = 11 + -2(x + 2) Reorder the terms: 12 + -3(1 + x) = 11 + -2(x + 2) 12 + (1 * -3 + x * -3) = 11 + -2(x + 2) 12 + (-3 + -3x) = 11 + -2(x + 2) Combine like terms: 12 + -3 = 9 9 + -3x = 11 + -2(x + 2) Reorder the terms: 9 + -3x = 11 + -2(2 + x) 9 + -3x = 11 + (2 * -2 + x * -2) 9 + -3x = 11 + (-4 + -2x) Combine like terms: 11 + -4 = 7 9 + -3x = 7 + -2x Solving 9 + -3x = 7 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 9 + -3x + 2x = 7 + -2x + 2x Combine like terms: -3x + 2x = -1x 9 + -1x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 9 + -1x = 7 + 0 9 + -1x = 7 Add '-9' to each side of the equation. 9 + -9 + -1x = 7 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 7 + -9 -1x = 7 + -9 Combine like terms: 7 + -9 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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