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Simplifying 5x + -12 = 13(2x + 12) Reorder the terms: -12 + 5x = 13(2x + 12) Reorder the terms: -12 + 5x = 13(12 + 2x) -12 + 5x = (12 * 13 + 2x * 13) -12 + 5x = (156 + 26x) Solving -12 + 5x = 156 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. -12 + 5x + -26x = 156 + 26x + -26x Combine like terms: 5x + -26x = -21x -12 + -21x = 156 + 26x + -26x Combine like terms: 26x + -26x = 0 -12 + -21x = 156 + 0 -12 + -21x = 156 Add '12' to each side of the equation. -12 + 12 + -21x = 156 + 12 Combine like terms: -12 + 12 = 0 0 + -21x = 156 + 12 -21x = 156 + 12 Combine like terms: 156 + 12 = 168 -21x = 168 Divide each side by '-21'. x = -8 Simplifying x = -8
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