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Simplifying (5X + 29) + (5Y + -9) = 180 Reorder the terms: (29 + 5X) + (5Y + -9) = 180 Remove parenthesis around (29 + 5X) 29 + 5X + (5Y + -9) = 180 Reorder the terms: 29 + 5X + (-9 + 5Y) = 180 Remove parenthesis around (-9 + 5Y) 29 + 5X + -9 + 5Y = 180 Reorder the terms: 29 + -9 + 5X + 5Y = 180 Combine like terms: 29 + -9 = 20 20 + 5X + 5Y = 180 Solving 20 + 5X + 5Y = 180 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 5X + -20 + 5Y = 180 + -20 Reorder the terms: 20 + -20 + 5X + 5Y = 180 + -20 Combine like terms: 20 + -20 = 0 0 + 5X + 5Y = 180 + -20 5X + 5Y = 180 + -20 Combine like terms: 180 + -20 = 160 5X + 5Y = 160 Add '-5Y' to each side of the equation. 5X + 5Y + -5Y = 160 + -5Y Combine like terms: 5Y + -5Y = 0 5X + 0 = 160 + -5Y 5X = 160 + -5Y Divide each side by '5'. X = 32 + -1Y Simplifying X = 32 + -1Y
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