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Simplifying 3(1 + -1x) + -5 = 8 + -2(x + -1) (1 * 3 + -1x * 3) + -5 = 8 + -2(x + -1) (3 + -3x) + -5 = 8 + -2(x + -1) Reorder the terms: 3 + -5 + -3x = 8 + -2(x + -1) Combine like terms: 3 + -5 = -2 -2 + -3x = 8 + -2(x + -1) Reorder the terms: -2 + -3x = 8 + -2(-1 + x) -2 + -3x = 8 + (-1 * -2 + x * -2) -2 + -3x = 8 + (2 + -2x) Combine like terms: 8 + 2 = 10 -2 + -3x = 10 + -2x Solving -2 + -3x = 10 + -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. -2 + -3x + 2x = 10 + -2x + 2x Combine like terms: -3x + 2x = -1x -2 + -1x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + -1x = 10 + 0 -2 + -1x = 10 Add '2' to each side of the equation. -2 + 2 + -1x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 10 + 2 -1x = 10 + 2 Combine like terms: 10 + 2 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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