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Simplifying 3x + -1(2x + -5) = 12 + -2(x + 5) Reorder the terms: 3x + -1(-5 + 2x) = 12 + -2(x + 5) 3x + (-5 * -1 + 2x * -1) = 12 + -2(x + 5) 3x + (5 + -2x) = 12 + -2(x + 5) Reorder the terms: 5 + 3x + -2x = 12 + -2(x + 5) Combine like terms: 3x + -2x = 1x 5 + 1x = 12 + -2(x + 5) Reorder the terms: 5 + 1x = 12 + -2(5 + x) 5 + 1x = 12 + (5 * -2 + x * -2) 5 + 1x = 12 + (-10 + -2x) Combine like terms: 12 + -10 = 2 5 + 1x = 2 + -2x Solving 5 + 1x = 2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 5 + 1x + 2x = 2 + -2x + 2x Combine like terms: 1x + 2x = 3x 5 + 3x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + 3x = 2 + 0 5 + 3x = 2 Add '-5' to each side of the equation. 5 + -5 + 3x = 2 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 2 + -5 3x = 2 + -5 Combine like terms: 2 + -5 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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