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Simplifying (x + -1y) = 0.75(x + y) Remove parenthesis around (x + -1y) x + -1y = 0.75(x + y) x + -1y = (x * 0.75 + y * 0.75) x + -1y = (0.75x + 0.75y) Solving x + -1y = 0.75x + 0.75y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. x + -0.75x + -1y = 0.75x + -0.75x + 0.75y Combine like terms: x + -0.75x = 0.25x 0.25x + -1y = 0.75x + -0.75x + 0.75y Combine like terms: 0.75x + -0.75x = 0.00 0.25x + -1y = 0.00 + 0.75y 0.25x + -1y = 0.75y Add 'y' to each side of the equation. 0.25x + -1y + y = 0.75y + y Combine like terms: -1y + y = 0 0.25x + 0 = 0.75y + y 0.25x = 0.75y + y Combine like terms: 0.75y + y = 1.75y 0.25x = 1.75y Divide each side by '0.25'. x = 7y Simplifying x = 7y
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