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