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Simplifying 5(3x + 12) + 3(x + 4) = 180 Reorder the terms: 5(12 + 3x) + 3(x + 4) = 180 (12 * 5 + 3x * 5) + 3(x + 4) = 180 (60 + 15x) + 3(x + 4) = 180 Reorder the terms: 60 + 15x + 3(4 + x) = 180 60 + 15x + (4 * 3 + x * 3) = 180 60 + 15x + (12 + 3x) = 180 Reorder the terms: 60 + 12 + 15x + 3x = 180 Combine like terms: 60 + 12 = 72 72 + 15x + 3x = 180 Combine like terms: 15x + 3x = 18x 72 + 18x = 180 Solving 72 + 18x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + 18x = 180 + -72 Combine like terms: 72 + -72 = 0 0 + 18x = 180 + -72 18x = 180 + -72 Combine like terms: 180 + -72 = 108 18x = 108 Divide each side by '18'. x = 6 Simplifying x = 6
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