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