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Simplifying (2y + 30) + (3x + 10) = 180 Reorder the terms: (30 + 2y) + (3x + 10) = 180 Remove parenthesis around (30 + 2y) 30 + 2y + (3x + 10) = 180 Reorder the terms: 30 + 2y + (10 + 3x) = 180 Remove parenthesis around (10 + 3x) 30 + 2y + 10 + 3x = 180 Reorder the terms: 30 + 10 + 3x + 2y = 180 Combine like terms: 30 + 10 = 40 40 + 3x + 2y = 180 Solving 40 + 3x + 2y = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + 3x + -40 + 2y = 180 + -40 Reorder the terms: 40 + -40 + 3x + 2y = 180 + -40 Combine like terms: 40 + -40 = 0 0 + 3x + 2y = 180 + -40 3x + 2y = 180 + -40 Combine like terms: 180 + -40 = 140 3x + 2y = 140 Add '-2y' to each side of the equation. 3x + 2y + -2y = 140 + -2y Combine like terms: 2y + -2y = 0 3x + 0 = 140 + -2y 3x = 140 + -2y Divide each side by '3'. x = 46.66666667 + -0.6666666667y Simplifying x = 46.66666667 + -0.6666666667y
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