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Simplifying -13 + 12x = 2(20x + 37) + -1x Reorder the terms: -13 + 12x = 2(37 + 20x) + -1x -13 + 12x = (37 * 2 + 20x * 2) + -1x -13 + 12x = (74 + 40x) + -1x Combine like terms: 40x + -1x = 39x -13 + 12x = 74 + 39x Solving -13 + 12x = 74 + 39x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39x' to each side of the equation. -13 + 12x + -39x = 74 + 39x + -39x Combine like terms: 12x + -39x = -27x -13 + -27x = 74 + 39x + -39x Combine like terms: 39x + -39x = 0 -13 + -27x = 74 + 0 -13 + -27x = 74 Add '13' to each side of the equation. -13 + 13 + -27x = 74 + 13 Combine like terms: -13 + 13 = 0 0 + -27x = 74 + 13 -27x = 74 + 13 Combine like terms: 74 + 13 = 87 -27x = 87 Divide each side by '-27'. x = -3.222222222 Simplifying x = -3.222222222
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