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Simplifying -1(x + -5) + 2 = 3(4 + -1x) + 5 Reorder the terms: -1(-5 + x) + 2 = 3(4 + -1x) + 5 (-5 * -1 + x * -1) + 2 = 3(4 + -1x) + 5 (5 + -1x) + 2 = 3(4 + -1x) + 5 Reorder the terms: 5 + 2 + -1x = 3(4 + -1x) + 5 Combine like terms: 5 + 2 = 7 7 + -1x = 3(4 + -1x) + 5 7 + -1x = (4 * 3 + -1x * 3) + 5 7 + -1x = (12 + -3x) + 5 Reorder the terms: 7 + -1x = 12 + 5 + -3x Combine like terms: 12 + 5 = 17 7 + -1x = 17 + -3x Solving 7 + -1x = 17 + -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 + -1x + 3x = 17 + -3x + 3x Combine like terms: -1x + 3x = 2x 7 + 2x = 17 + -3x + 3x Combine like terms: -3x + 3x = 0 7 + 2x = 17 + 0 7 + 2x = 17 Add '-7' to each side of the equation. 7 + -7 + 2x = 17 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 17 + -7 2x = 17 + -7 Combine like terms: 17 + -7 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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