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Simplifying 5(2 + -4x) + -1 = 7(1 + -3x) + 12 (2 * 5 + -4x * 5) + -1 = 7(1 + -3x) + 12 (10 + -20x) + -1 = 7(1 + -3x) + 12 Reorder the terms: 10 + -1 + -20x = 7(1 + -3x) + 12 Combine like terms: 10 + -1 = 9 9 + -20x = 7(1 + -3x) + 12 9 + -20x = (1 * 7 + -3x * 7) + 12 9 + -20x = (7 + -21x) + 12 Reorder the terms: 9 + -20x = 7 + 12 + -21x Combine like terms: 7 + 12 = 19 9 + -20x = 19 + -21x Solving 9 + -20x = 19 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. 9 + -20x + 21x = 19 + -21x + 21x Combine like terms: -20x + 21x = 1x 9 + 1x = 19 + -21x + 21x Combine like terms: -21x + 21x = 0 9 + 1x = 19 + 0 9 + 1x = 19 Add '-9' to each side of the equation. 9 + -9 + 1x = 19 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 19 + -9 1x = 19 + -9 Combine like terms: 19 + -9 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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