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Simplifying x + y + 2x + 10 + x + 2y = 180 Reorder the terms: 10 + x + 2x + x + y + 2y = 180 Combine like terms: x + 2x = 3x 10 + 3x + x + y + 2y = 180 Combine like terms: 3x + x = 4x 10 + 4x + y + 2y = 180 Combine like terms: y + 2y = 3y 10 + 4x + 3y = 180 Solving 10 + 4x + 3y = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 4x + -10 + 3y = 180 + -10 Reorder the terms: 10 + -10 + 4x + 3y = 180 + -10 Combine like terms: 10 + -10 = 0 0 + 4x + 3y = 180 + -10 4x + 3y = 180 + -10 Combine like terms: 180 + -10 = 170 4x + 3y = 170 Add '-3y' to each side of the equation. 4x + 3y + -3y = 170 + -3y Combine like terms: 3y + -3y = 0 4x + 0 = 170 + -3y 4x = 170 + -3y Divide each side by '4'. x = 42.5 + -0.75y Simplifying x = 42.5 + -0.75y
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