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Simplifying x + -1(x + 1) = 2 + -3(x + -2) Reorder the terms: x + -1(1 + x) = 2 + -3(x + -2) x + (1 * -1 + x * -1) = 2 + -3(x + -2) x + (-1 + -1x) = 2 + -3(x + -2) Reorder the terms: -1 + x + -1x = 2 + -3(x + -2) Combine like terms: x + -1x = 0 -1 + 0 = 2 + -3(x + -2) -1 = 2 + -3(x + -2) Reorder the terms: -1 = 2 + -3(-2 + x) -1 = 2 + (-2 * -3 + x * -3) -1 = 2 + (6 + -3x) Combine like terms: 2 + 6 = 8 -1 = 8 + -3x Solving -1 = 8 + -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. -1 + 3x = 8 + -3x + 3x Combine like terms: -3x + 3x = 0 -1 + 3x = 8 + 0 -1 + 3x = 8 Add '1' to each side of the equation. -1 + 1 + 3x = 8 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 8 + 1 3x = 8 + 1 Combine like terms: 8 + 1 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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