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