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Simplifying 3x + (y + 78) + 3y + (4x + -21) = 180 Reorder the terms: 3x + (78 + y) + 3y + (4x + -21) = 180 Remove parenthesis around (78 + y) 3x + 78 + y + 3y + (4x + -21) = 180 Reorder the terms: 3x + 78 + y + 3y + (-21 + 4x) = 180 Remove parenthesis around (-21 + 4x) 3x + 78 + y + 3y + -21 + 4x = 180 Reorder the terms: 78 + -21 + 3x + 4x + y + 3y = 180 Combine like terms: 78 + -21 = 57 57 + 3x + 4x + y + 3y = 180 Combine like terms: 3x + 4x = 7x 57 + 7x + y + 3y = 180 Combine like terms: y + 3y = 4y 57 + 7x + 4y = 180 Solving 57 + 7x + 4y = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-57' to each side of the equation. 57 + 7x + -57 + 4y = 180 + -57 Reorder the terms: 57 + -57 + 7x + 4y = 180 + -57 Combine like terms: 57 + -57 = 0 0 + 7x + 4y = 180 + -57 7x + 4y = 180 + -57 Combine like terms: 180 + -57 = 123 7x + 4y = 123 Add '-4y' to each side of the equation. 7x + 4y + -4y = 123 + -4y Combine like terms: 4y + -4y = 0 7x + 0 = 123 + -4y 7x = 123 + -4y Divide each side by '7'. x = 17.57142857 + -0.5714285714y Simplifying x = 17.57142857 + -0.5714285714y
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