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Simplifying 5 + -1(2x + -2) = 3(4 + -1x) Reorder the terms: 5 + -1(-2 + 2x) = 3(4 + -1x) 5 + (-2 * -1 + 2x * -1) = 3(4 + -1x) 5 + (2 + -2x) = 3(4 + -1x) Combine like terms: 5 + 2 = 7 7 + -2x = 3(4 + -1x) 7 + -2x = (4 * 3 + -1x * 3) 7 + -2x = (12 + -3x) Solving 7 + -2x = 12 + -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. 7 + -2x + 3x = 12 + -3x + 3x Combine like terms: -2x + 3x = 1x 7 + 1x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 7 + 1x = 12 + 0 7 + 1x = 12 Add '-7' to each side of the equation. 7 + -7 + 1x = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 12 + -7 1x = 12 + -7 Combine like terms: 12 + -7 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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