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Simplifying 2 + -3(x + -1) = 10 + -1(x + 1) Reorder the terms: 2 + -3(-1 + x) = 10 + -1(x + 1) 2 + (-1 * -3 + x * -3) = 10 + -1(x + 1) 2 + (3 + -3x) = 10 + -1(x + 1) Combine like terms: 2 + 3 = 5 5 + -3x = 10 + -1(x + 1) Reorder the terms: 5 + -3x = 10 + -1(1 + x) 5 + -3x = 10 + (1 * -1 + x * -1) 5 + -3x = 10 + (-1 + -1x) Combine like terms: 10 + -1 = 9 5 + -3x = 9 + -1x Solving 5 + -3x = 9 + -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. 5 + -3x + x = 9 + -1x + x Combine like terms: -3x + x = -2x 5 + -2x = 9 + -1x + x Combine like terms: -1x + x = 0 5 + -2x = 9 + 0 5 + -2x = 9 Add '-5' to each side of the equation. 5 + -5 + -2x = 9 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 9 + -5 -2x = 9 + -5 Combine like terms: 9 + -5 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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