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Simplifying x + 20 + y + 10 + 4(x + y) = 180 x + 20 + y + 10 + (x * 4 + y * 4) = 180 x + 20 + y + 10 + (4x + 4y) = 180 Reorder the terms: 20 + 10 + x + 4x + y + 4y = 180 Combine like terms: 20 + 10 = 30 30 + x + 4x + y + 4y = 180 Combine like terms: x + 4x = 5x 30 + 5x + y + 4y = 180 Combine like terms: y + 4y = 5y 30 + 5x + 5y = 180 Solving 30 + 5x + 5y = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + 5x + -30 + 5y = 180 + -30 Reorder the terms: 30 + -30 + 5x + 5y = 180 + -30 Combine like terms: 30 + -30 = 0 0 + 5x + 5y = 180 + -30 5x + 5y = 180 + -30 Combine like terms: 180 + -30 = 150 5x + 5y = 150 Add '-5y' to each side of the equation. 5x + 5y + -5y = 150 + -5y Combine like terms: 5y + -5y = 0 5x + 0 = 150 + -5y 5x = 150 + -5y Divide each side by '5'. x = 30 + -1y Simplifying x = 30 + -1y
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