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Simplifying 7x + 3(x + 12) = 9(x + 12) Reorder the terms: 7x + 3(12 + x) = 9(x + 12) 7x + (12 * 3 + x * 3) = 9(x + 12) 7x + (36 + 3x) = 9(x + 12) Reorder the terms: 36 + 7x + 3x = 9(x + 12) Combine like terms: 7x + 3x = 10x 36 + 10x = 9(x + 12) Reorder the terms: 36 + 10x = 9(12 + x) 36 + 10x = (12 * 9 + x * 9) 36 + 10x = (108 + 9x) Solving 36 + 10x = 108 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 36 + 10x + -9x = 108 + 9x + -9x Combine like terms: 10x + -9x = 1x 36 + 1x = 108 + 9x + -9x Combine like terms: 9x + -9x = 0 36 + 1x = 108 + 0 36 + 1x = 108 Add '-36' to each side of the equation. 36 + -36 + 1x = 108 + -36 Combine like terms: 36 + -36 = 0 0 + 1x = 108 + -36 1x = 108 + -36 Combine like terms: 108 + -36 = 72 1x = 72 Divide each side by '1'. x = 72 Simplifying x = 72
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