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Simplifying (2x + 3y) + (3x + -1y + 2) = 80 Remove parenthesis around (2x + 3y) 2x + 3y + (3x + -1y + 2) = 80 Reorder the terms: 2x + 3y + (2 + 3x + -1y) = 80 Remove parenthesis around (2 + 3x + -1y) 2x + 3y + 2 + 3x + -1y = 80 Reorder the terms: 2 + 2x + 3x + 3y + -1y = 80 Combine like terms: 2x + 3x = 5x 2 + 5x + 3y + -1y = 80 Combine like terms: 3y + -1y = 2y 2 + 5x + 2y = 80 Solving 2 + 5x + 2y = 80 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 5x + -2 + 2y = 80 + -2 Reorder the terms: 2 + -2 + 5x + 2y = 80 + -2 Combine like terms: 2 + -2 = 0 0 + 5x + 2y = 80 + -2 5x + 2y = 80 + -2 Combine like terms: 80 + -2 = 78 5x + 2y = 78 Add '-2y' to each side of the equation. 5x + 2y + -2y = 78 + -2y Combine like terms: 2y + -2y = 0 5x + 0 = 78 + -2y 5x = 78 + -2y Divide each side by '5'. x = 15.6 + -0.4y Simplifying x = 15.6 + -0.4y
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