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Simplifying 2(5x + 4) + 9 = 3(x + 4) + 12 Reorder the terms: 2(4 + 5x) + 9 = 3(x + 4) + 12 (4 * 2 + 5x * 2) + 9 = 3(x + 4) + 12 (8 + 10x) + 9 = 3(x + 4) + 12 Reorder the terms: 8 + 9 + 10x = 3(x + 4) + 12 Combine like terms: 8 + 9 = 17 17 + 10x = 3(x + 4) + 12 Reorder the terms: 17 + 10x = 3(4 + x) + 12 17 + 10x = (4 * 3 + x * 3) + 12 17 + 10x = (12 + 3x) + 12 Reorder the terms: 17 + 10x = 12 + 12 + 3x Combine like terms: 12 + 12 = 24 17 + 10x = 24 + 3x Solving 17 + 10x = 24 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 17 + 10x + -3x = 24 + 3x + -3x Combine like terms: 10x + -3x = 7x 17 + 7x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 17 + 7x = 24 + 0 17 + 7x = 24 Add '-17' to each side of the equation. 17 + -17 + 7x = 24 + -17 Combine like terms: 17 + -17 = 0 0 + 7x = 24 + -17 7x = 24 + -17 Combine like terms: 24 + -17 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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