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Simplifying 3(x + -5) + -2 = 8 + -1(1 + -1x) Reorder the terms: 3(-5 + x) + -2 = 8 + -1(1 + -1x) (-5 * 3 + x * 3) + -2 = 8 + -1(1 + -1x) (-15 + 3x) + -2 = 8 + -1(1 + -1x) Reorder the terms: -15 + -2 + 3x = 8 + -1(1 + -1x) Combine like terms: -15 + -2 = -17 -17 + 3x = 8 + -1(1 + -1x) -17 + 3x = 8 + (1 * -1 + -1x * -1) -17 + 3x = 8 + (-1 + 1x) Combine like terms: 8 + -1 = 7 -17 + 3x = 7 + 1x Solving -17 + 3x = 7 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -17 + 3x + -1x = 7 + 1x + -1x Combine like terms: 3x + -1x = 2x -17 + 2x = 7 + 1x + -1x Combine like terms: 1x + -1x = 0 -17 + 2x = 7 + 0 -17 + 2x = 7 Add '17' to each side of the equation. -17 + 17 + 2x = 7 + 17 Combine like terms: -17 + 17 = 0 0 + 2x = 7 + 17 2x = 7 + 17 Combine like terms: 7 + 17 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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