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Simplifying (4x + 10) + (2y + -30) = 180 Reorder the terms: (10 + 4x) + (2y + -30) = 180 Remove parenthesis around (10 + 4x) 10 + 4x + (2y + -30) = 180 Reorder the terms: 10 + 4x + (-30 + 2y) = 180 Remove parenthesis around (-30 + 2y) 10 + 4x + -30 + 2y = 180 Reorder the terms: 10 + -30 + 4x + 2y = 180 Combine like terms: 10 + -30 = -20 -20 + 4x + 2y = 180 Solving -20 + 4x + 2y = 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 + 4x + 20 + 2y = 180 + 20 Reorder the terms: -20 + 20 + 4x + 2y = 180 + 20 Combine like terms: -20 + 20 = 0 0 + 4x + 2y = 180 + 20 4x + 2y = 180 + 20 Combine like terms: 180 + 20 = 200 4x + 2y = 200 Add '-2y' to each side of the equation. 4x + 2y + -2y = 200 + -2y Combine like terms: 2y + -2y = 0 4x + 0 = 200 + -2y 4x = 200 + -2y Divide each side by '4'. x = 50 + -0.5y Simplifying x = 50 + -0.5y
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