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Simplifying x + 3 + -1(x + -1) = x + -2 + -1(-2x + x) Reorder the terms: x + 3 + -1(-1 + x) = x + -2 + -1(-2x + x) x + 3 + (-1 * -1 + x * -1) = x + -2 + -1(-2x + x) x + 3 + (1 + -1x) = x + -2 + -1(-2x + x) Reorder the terms: 3 + 1 + x + -1x = x + -2 + -1(-2x + x) Combine like terms: 3 + 1 = 4 4 + x + -1x = x + -2 + -1(-2x + x) Combine like terms: x + -1x = 0 4 + 0 = x + -2 + -1(-2x + x) 4 = x + -2 + -1(-2x + x) Combine like terms: -2x + x = -1x 4 = x + -2 + -1(-1x) Remove parenthesis around (-1x) 4 = x + -2 + -1 * -1x Multiply -1 * -1 4 = x + -2 + 1x Reorder the terms: 4 = -2 + x + 1x Combine like terms: x + 1x = 2x 4 = -2 + 2x Solving 4 = -2 + 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. 4 + -2x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + -2x = -2 + 0 4 + -2x = -2 Add '-4' to each side of the equation. 4 + -4 + -2x = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = -2 + -4 -2x = -2 + -4 Combine like terms: -2 + -4 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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