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Simplifying (6y + -2) + (4x + 20) + 52 = 180 Reorder the terms: (-2 + 6y) + (4x + 20) + 52 = 180 Remove parenthesis around (-2 + 6y) -2 + 6y + (4x + 20) + 52 = 180 Reorder the terms: -2 + 6y + (20 + 4x) + 52 = 180 Remove parenthesis around (20 + 4x) -2 + 6y + 20 + 4x + 52 = 180 Reorder the terms: -2 + 20 + 52 + 4x + 6y = 180 Combine like terms: -2 + 20 = 18 18 + 52 + 4x + 6y = 180 Combine like terms: 18 + 52 = 70 70 + 4x + 6y = 180 Solving 70 + 4x + 6y = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + 4x + -70 + 6y = 180 + -70 Reorder the terms: 70 + -70 + 4x + 6y = 180 + -70 Combine like terms: 70 + -70 = 0 0 + 4x + 6y = 180 + -70 4x + 6y = 180 + -70 Combine like terms: 180 + -70 = 110 4x + 6y = 110 Add '-6y' to each side of the equation. 4x + 6y + -6y = 110 + -6y Combine like terms: 6y + -6y = 0 4x + 0 = 110 + -6y 4x = 110 + -6y Divide each side by '4'. x = 27.5 + -1.5y Simplifying x = 27.5 + -1.5y
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