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Simplifying 12 + -3(x + 1) = 1 + -5(x + -2) Reorder the terms: 12 + -3(1 + x) = 1 + -5(x + -2) 12 + (1 * -3 + x * -3) = 1 + -5(x + -2) 12 + (-3 + -3x) = 1 + -5(x + -2) Combine like terms: 12 + -3 = 9 9 + -3x = 1 + -5(x + -2) Reorder the terms: 9 + -3x = 1 + -5(-2 + x) 9 + -3x = 1 + (-2 * -5 + x * -5) 9 + -3x = 1 + (10 + -5x) Combine like terms: 1 + 10 = 11 9 + -3x = 11 + -5x Solving 9 + -3x = 11 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 9 + -3x + 5x = 11 + -5x + 5x Combine like terms: -3x + 5x = 2x 9 + 2x = 11 + -5x + 5x Combine like terms: -5x + 5x = 0 9 + 2x = 11 + 0 9 + 2x = 11 Add '-9' to each side of the equation. 9 + -9 + 2x = 11 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 11 + -9 2x = 11 + -9 Combine like terms: 11 + -9 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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