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Simplifying (3x + 8) + (5x + 4y) = 180 Reorder the terms: (8 + 3x) + (5x + 4y) = 180 Remove parenthesis around (8 + 3x) 8 + 3x + (5x + 4y) = 180 Remove parenthesis around (5x + 4y) 8 + 3x + 5x + 4y = 180 Combine like terms: 3x + 5x = 8x 8 + 8x + 4y = 180 Solving 8 + 8x + 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 + 8x + -8 + 4y = 180 + -8 Reorder the terms: 8 + -8 + 8x + 4y = 180 + -8 Combine like terms: 8 + -8 = 0 0 + 8x + 4y = 180 + -8 8x + 4y = 180 + -8 Combine like terms: 180 + -8 = 172 8x + 4y = 172 Add '-4y' to each side of the equation. 8x + 4y + -4y = 172 + -4y Combine like terms: 4y + -4y = 0 8x + 0 = 172 + -4y 8x = 172 + -4y Divide each side by '8'. x = 21.5 + -0.5y Simplifying x = 21.5 + -0.5y
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