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Simplifying x + -1(2x + -1) = 8 + -1(3x + 3) Reorder the terms: x + -1(-1 + 2x) = 8 + -1(3x + 3) x + (-1 * -1 + 2x * -1) = 8 + -1(3x + 3) x + (1 + -2x) = 8 + -1(3x + 3) Reorder the terms: 1 + x + -2x = 8 + -1(3x + 3) Combine like terms: x + -2x = -1x 1 + -1x = 8 + -1(3x + 3) Reorder the terms: 1 + -1x = 8 + -1(3 + 3x) 1 + -1x = 8 + (3 * -1 + 3x * -1) 1 + -1x = 8 + (-3 + -3x) Combine like terms: 8 + -3 = 5 1 + -1x = 5 + -3x Solving 1 + -1x = 5 + -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 + -1x + 3x = 5 + -3x + 3x Combine like terms: -1x + 3x = 2x 1 + 2x = 5 + -3x + 3x Combine like terms: -3x + 3x = 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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