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Simplifying 12 + -2(x + -3) + 3(2x + -1) = 5 + -1(x + 5) Reorder the terms: 12 + -2(-3 + x) + 3(2x + -1) = 5 + -1(x + 5) 12 + (-3 * -2 + x * -2) + 3(2x + -1) = 5 + -1(x + 5) 12 + (6 + -2x) + 3(2x + -1) = 5 + -1(x + 5) Reorder the terms: 12 + 6 + -2x + 3(-1 + 2x) = 5 + -1(x + 5) 12 + 6 + -2x + (-1 * 3 + 2x * 3) = 5 + -1(x + 5) 12 + 6 + -2x + (-3 + 6x) = 5 + -1(x + 5) Reorder the terms: 12 + 6 + -3 + -2x + 6x = 5 + -1(x + 5) Combine like terms: 12 + 6 = 18 18 + -3 + -2x + 6x = 5 + -1(x + 5) Combine like terms: 18 + -3 = 15 15 + -2x + 6x = 5 + -1(x + 5) Combine like terms: -2x + 6x = 4x 15 + 4x = 5 + -1(x + 5) Reorder the terms: 15 + 4x = 5 + -1(5 + x) 15 + 4x = 5 + (5 * -1 + x * -1) 15 + 4x = 5 + (-5 + -1x) Combine like terms: 5 + -5 = 0 15 + 4x = 0 + -1x 15 + 4x = -1x Solving 15 + 4x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 15 + 4x + x = -1x + x Combine like terms: 4x + x = 5x 15 + 5x = -1x + x Combine like terms: -1x + x = 0 15 + 5x = 0 Add '-15' to each side of the equation. 15 + -15 + 5x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 5x = 0 + -15 5x = 0 + -15 Combine like terms: 0 + -15 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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