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Simplifying (5x + -1y) = (x + 2x + 6) Remove parenthesis around (5x + -1y) 5x + -1y = (x + 2x + 6) Reorder the terms: 5x + -1y = (6 + x + 2x) Combine like terms: x + 2x = 3x 5x + -1y = (6 + 3x) Remove parenthesis around (6 + 3x) 5x + -1y = 6 + 3x Solving 5x + -1y = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5x + -3x + -1y = 6 + 3x + -3x Combine like terms: 5x + -3x = 2x 2x + -1y = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 2x + -1y = 6 + 0 2x + -1y = 6 Add 'y' to each side of the equation. 2x + -1y + y = 6 + y Combine like terms: -1y + y = 0 2x + 0 = 6 + y 2x = 6 + y Divide each side by '2'. x = 3 + 0.5y Simplifying x = 3 + 0.5y
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