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Simplifying 9x + 7 = 2(5x + 12) Reorder the terms: 7 + 9x = 2(5x + 12) Reorder the terms: 7 + 9x = 2(12 + 5x) 7 + 9x = (12 * 2 + 5x * 2) 7 + 9x = (24 + 10x) Solving 7 + 9x = 24 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 7 + 9x + -10x = 24 + 10x + -10x Combine like terms: 9x + -10x = -1x 7 + -1x = 24 + 10x + -10x Combine like terms: 10x + -10x = 0 7 + -1x = 24 + 0 7 + -1x = 24 Add '-7' to each side of the equation. 7 + -7 + -1x = 24 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 24 + -7 -1x = 24 + -7 Combine like terms: 24 + -7 = 17 -1x = 17 Divide each side by '-1'. x = -17 Simplifying x = -17
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