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Simplifying 3(x + 5) + -2(x + -1) = 2 + -3(x + -1) Reorder the terms: 3(5 + x) + -2(x + -1) = 2 + -3(x + -1) (5 * 3 + x * 3) + -2(x + -1) = 2 + -3(x + -1) (15 + 3x) + -2(x + -1) = 2 + -3(x + -1) Reorder the terms: 15 + 3x + -2(-1 + x) = 2 + -3(x + -1) 15 + 3x + (-1 * -2 + x * -2) = 2 + -3(x + -1) 15 + 3x + (2 + -2x) = 2 + -3(x + -1) Reorder the terms: 15 + 2 + 3x + -2x = 2 + -3(x + -1) Combine like terms: 15 + 2 = 17 17 + 3x + -2x = 2 + -3(x + -1) Combine like terms: 3x + -2x = 1x 17 + 1x = 2 + -3(x + -1) Reorder the terms: 17 + 1x = 2 + -3(-1 + x) 17 + 1x = 2 + (-1 * -3 + x * -3) 17 + 1x = 2 + (3 + -3x) Combine like terms: 2 + 3 = 5 17 + 1x = 5 + -3x Solving 17 + 1x = 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. 17 + 1x + 3x = 5 + -3x + 3x Combine like terms: 1x + 3x = 4x 17 + 4x = 5 + -3x + 3x Combine like terms: -3x + 3x = 0 17 + 4x = 5 + 0 17 + 4x = 5 Add '-17' to each side of the equation. 17 + -17 + 4x = 5 + -17 Combine like terms: 17 + -17 = 0 0 + 4x = 5 + -17 4x = 5 + -17 Combine like terms: 5 + -17 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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