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Simplifying (5x + 3) + (15y + 12) = 180 Reorder the terms: (3 + 5x) + (15y + 12) = 180 Remove parenthesis around (3 + 5x) 3 + 5x + (15y + 12) = 180 Reorder the terms: 3 + 5x + (12 + 15y) = 180 Remove parenthesis around (12 + 15y) 3 + 5x + 12 + 15y = 180 Reorder the terms: 3 + 12 + 5x + 15y = 180 Combine like terms: 3 + 12 = 15 15 + 5x + 15y = 180 Solving 15 + 5x + 15y = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 5x + -15 + 15y = 180 + -15 Reorder the terms: 15 + -15 + 5x + 15y = 180 + -15 Combine like terms: 15 + -15 = 0 0 + 5x + 15y = 180 + -15 5x + 15y = 180 + -15 Combine like terms: 180 + -15 = 165 5x + 15y = 165 Add '-15y' to each side of the equation. 5x + 15y + -15y = 165 + -15y Combine like terms: 15y + -15y = 0 5x + 0 = 165 + -15y 5x = 165 + -15y Divide each side by '5'. x = 33 + -3y Simplifying x = 33 + -3y
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