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Simplifying 12 + -2(2x + -5) = 3(3 + -1x) Reorder the terms: 12 + -2(-5 + 2x) = 3(3 + -1x) 12 + (-5 * -2 + 2x * -2) = 3(3 + -1x) 12 + (10 + -4x) = 3(3 + -1x) Combine like terms: 12 + 10 = 22 22 + -4x = 3(3 + -1x) 22 + -4x = (3 * 3 + -1x * 3) 22 + -4x = (9 + -3x) Solving 22 + -4x = 9 + -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. 22 + -4x + 3x = 9 + -3x + 3x Combine like terms: -4x + 3x = -1x 22 + -1x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 22 + -1x = 9 + 0 22 + -1x = 9 Add '-22' to each side of the equation. 22 + -22 + -1x = 9 + -22 Combine like terms: 22 + -22 = 0 0 + -1x = 9 + -22 -1x = 9 + -22 Combine like terms: 9 + -22 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13
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