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