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Simplifying (4y + 3x) + (5x + -17) + (2x + 25) = 180 Reorder the terms: (3x + 4y) + (5x + -17) + (2x + 25) = 180 Remove parenthesis around (3x + 4y) 3x + 4y + (5x + -17) + (2x + 25) = 180 Reorder the terms: 3x + 4y + (-17 + 5x) + (2x + 25) = 180 Remove parenthesis around (-17 + 5x) 3x + 4y + -17 + 5x + (2x + 25) = 180 Reorder the terms: 3x + 4y + -17 + 5x + (25 + 2x) = 180 Remove parenthesis around (25 + 2x) 3x + 4y + -17 + 5x + 25 + 2x = 180 Reorder the terms: -17 + 25 + 3x + 5x + 2x + 4y = 180 Combine like terms: -17 + 25 = 8 8 + 3x + 5x + 2x + 4y = 180 Combine like terms: 3x + 5x = 8x 8 + 8x + 2x + 4y = 180 Combine like terms: 8x + 2x = 10x 8 + 10x + 4y = 180 Solving 8 + 10x + 4y = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 10x + -8 + 4y = 180 + -8 Reorder the terms: 8 + -8 + 10x + 4y = 180 + -8 Combine like terms: 8 + -8 = 0 0 + 10x + 4y = 180 + -8 10x + 4y = 180 + -8 Combine like terms: 180 + -8 = 172 10x + 4y = 172 Add '-4y' to each side of the equation. 10x + 4y + -4y = 172 + -4y Combine like terms: 4y + -4y = 0 10x + 0 = 172 + -4y 10x = 172 + -4y Divide each side by '10'. x = 17.2 + -0.4y Simplifying x = 17.2 + -0.4y
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