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Simplifying (2x + 4y) + (4x + 7y) = 180 Remove parenthesis around (2x + 4y) 2x + 4y + (4x + 7y) = 180 Remove parenthesis around (4x + 7y) 2x + 4y + 4x + 7y = 180 Reorder the terms: 2x + 4x + 4y + 7y = 180 Combine like terms: 2x + 4x = 6x 6x + 4y + 7y = 180 Combine like terms: 4y + 7y = 11y 6x + 11y = 180 Solving 6x + 11y = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11y' to each side of the equation. 6x + 11y + -11y = 180 + -11y Combine like terms: 11y + -11y = 0 6x + 0 = 180 + -11y 6x = 180 + -11y Divide each side by '6'. x = 30 + -1.833333333y Simplifying x = 30 + -1.833333333y
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