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Simplifying 2(3 + -2x) + -5 = 4x + 12 + -1(2 + -1x) (3 * 2 + -2x * 2) + -5 = 4x + 12 + -1(2 + -1x) (6 + -4x) + -5 = 4x + 12 + -1(2 + -1x) Reorder the terms: 6 + -5 + -4x = 4x + 12 + -1(2 + -1x) Combine like terms: 6 + -5 = 1 1 + -4x = 4x + 12 + -1(2 + -1x) 1 + -4x = 4x + 12 + (2 * -1 + -1x * -1) 1 + -4x = 4x + 12 + (-2 + 1x) Reorder the terms: 1 + -4x = 12 + -2 + 4x + 1x Combine like terms: 12 + -2 = 10 1 + -4x = 10 + 4x + 1x Combine like terms: 4x + 1x = 5x 1 + -4x = 10 + 5x Solving 1 + -4x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 1 + -4x + -5x = 10 + 5x + -5x Combine like terms: -4x + -5x = -9x 1 + -9x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + -9x = 10 + 0 1 + -9x = 10 Add '-1' to each side of the equation. 1 + -1 + -9x = 10 + -1 Combine like terms: 1 + -1 = 0 0 + -9x = 10 + -1 -9x = 10 + -1 Combine like terms: 10 + -1 = 9 -9x = 9 Divide each side by '-9'. x = -1 Simplifying x = -1
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