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Simplifying 5(x + 4) + -3(x + 2) = 32 Reorder the terms: 5(4 + x) + -3(x + 2) = 32 (4 * 5 + x * 5) + -3(x + 2) = 32 (20 + 5x) + -3(x + 2) = 32 Reorder the terms: 20 + 5x + -3(2 + x) = 32 20 + 5x + (2 * -3 + x * -3) = 32 20 + 5x + (-6 + -3x) = 32 Reorder the terms: 20 + -6 + 5x + -3x = 32 Combine like terms: 20 + -6 = 14 14 + 5x + -3x = 32 Combine like terms: 5x + -3x = 2x 14 + 2x = 32 Solving 14 + 2x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 2x = 32 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = 32 + -14 2x = 32 + -14 Combine like terms: 32 + -14 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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