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Simplifying (2x + 40) + (3y + 52) = 180 Reorder the terms: (40 + 2x) + (3y + 52) = 180 Remove parenthesis around (40 + 2x) 40 + 2x + (3y + 52) = 180 Reorder the terms: 40 + 2x + (52 + 3y) = 180 Remove parenthesis around (52 + 3y) 40 + 2x + 52 + 3y = 180 Reorder the terms: 40 + 52 + 2x + 3y = 180 Combine like terms: 40 + 52 = 92 92 + 2x + 3y = 180 Solving 92 + 2x + 3y = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-92' to each side of the equation. 92 + 2x + -92 + 3y = 180 + -92 Reorder the terms: 92 + -92 + 2x + 3y = 180 + -92 Combine like terms: 92 + -92 = 0 0 + 2x + 3y = 180 + -92 2x + 3y = 180 + -92 Combine like terms: 180 + -92 = 88 2x + 3y = 88 Add '-3y' to each side of the equation. 2x + 3y + -3y = 88 + -3y Combine like terms: 3y + -3y = 0 2x + 0 = 88 + -3y 2x = 88 + -3y Divide each side by '2'. x = 44 + -1.5y Simplifying x = 44 + -1.5y
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