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Simplifying (5x + -1y) = (x + 2y + 6) Remove parenthesis around (5x + -1y) 5x + -1y = (x + 2y + 6) Reorder the terms: 5x + -1y = (6 + x + 2y) Remove parenthesis around (6 + x + 2y) 5x + -1y = 6 + x + 2y Solving 5x + -1y = 6 + x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5x + -1x + -1y = 6 + x + -1x + 2y Combine like terms: 5x + -1x = 4x 4x + -1y = 6 + x + -1x + 2y Combine like terms: x + -1x = 0 4x + -1y = 6 + 0 + 2y 4x + -1y = 6 + 2y Add 'y' to each side of the equation. 4x + -1y + y = 6 + 2y + y Combine like terms: -1y + y = 0 4x + 0 = 6 + 2y + y 4x = 6 + 2y + y Combine like terms: 2y + y = 3y 4x = 6 + 3y Divide each side by '4'. x = 1.5 + 0.75y Simplifying x = 1.5 + 0.75y
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