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