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Simplifying 4(3x + 5) + 5(x + 15) = 180 Reorder the terms: 4(5 + 3x) + 5(x + 15) = 180 (5 * 4 + 3x * 4) + 5(x + 15) = 180 (20 + 12x) + 5(x + 15) = 180 Reorder the terms: 20 + 12x + 5(15 + x) = 180 20 + 12x + (15 * 5 + x * 5) = 180 20 + 12x + (75 + 5x) = 180 Reorder the terms: 20 + 75 + 12x + 5x = 180 Combine like terms: 20 + 75 = 95 95 + 12x + 5x = 180 Combine like terms: 12x + 5x = 17x 95 + 17x = 180 Solving 95 + 17x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-95' to each side of the equation. 95 + -95 + 17x = 180 + -95 Combine like terms: 95 + -95 = 0 0 + 17x = 180 + -95 17x = 180 + -95 Combine like terms: 180 + -95 = 85 17x = 85 Divide each side by '17'. x = 5 Simplifying x = 5
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