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Simplifying x + 5 + -1(x + 3) = 2(x + -2) Reorder the terms: x + 5 + -1(3 + x) = 2(x + -2) x + 5 + (3 * -1 + x * -1) = 2(x + -2) x + 5 + (-3 + -1x) = 2(x + -2) Reorder the terms: 5 + -3 + x + -1x = 2(x + -2) Combine like terms: 5 + -3 = 2 2 + x + -1x = 2(x + -2) Combine like terms: x + -1x = 0 2 + 0 = 2(x + -2) 2 = 2(x + -2) Reorder the terms: 2 = 2(-2 + x) 2 = (-2 * 2 + x * 2) 2 = (-4 + 2x) Solving 2 = -4 + 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 + -2x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + -2x = -4 + 0 2 + -2x = -4 Add '-2' to each side of the equation. 2 + -2 + -2x = -4 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = -4 + -2 -2x = -4 + -2 Combine like terms: -4 + -2 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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