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Simplifying 180 = (5x + y) + (2x + y) + 100 Remove parenthesis around (5x + y) 180 = 5x + y + (2x + y) + 100 Remove parenthesis around (2x + y) 180 = 5x + y + 2x + y + 100 Reorder the terms: 180 = 100 + 5x + 2x + y + y Combine like terms: 5x + 2x = 7x 180 = 100 + 7x + y + y Combine like terms: y + y = 2y 180 = 100 + 7x + 2y Solving 180 = 100 + 7x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 180 + -7x = 100 + 7x + -7x + 2y Combine like terms: 7x + -7x = 0 180 + -7x = 100 + 0 + 2y 180 + -7x = 100 + 2y Add '-180' to each side of the equation. 180 + -180 + -7x = 100 + -180 + 2y Combine like terms: 180 + -180 = 0 0 + -7x = 100 + -180 + 2y -7x = 100 + -180 + 2y Combine like terms: 100 + -180 = -80 -7x = -80 + 2y Divide each side by '-7'. x = 11.42857143 + -0.2857142857y Simplifying x = 11.42857143 + -0.2857142857y
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