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Simplifying 3y + -2(x + -2y) = 5(x + y) + -7 3y + (x * -2 + -2y * -2) = 5(x + y) + -7 3y + (-2x + 4y) = 5(x + y) + -7 Reorder the terms: -2x + 3y + 4y = 5(x + y) + -7 Combine like terms: 3y + 4y = 7y -2x + 7y = 5(x + y) + -7 -2x + 7y = (x * 5 + y * 5) + -7 -2x + 7y = (5x + 5y) + -7 Reorder the terms: -2x + 7y = -7 + 5x + 5y Solving -2x + 7y = -7 + 5x + 5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2x + -5x + 7y = -7 + 5x + -5x + 5y Combine like terms: -2x + -5x = -7x -7x + 7y = -7 + 5x + -5x + 5y Combine like terms: 5x + -5x = 0 -7x + 7y = -7 + 0 + 5y -7x + 7y = -7 + 5y Add '-7y' to each side of the equation. -7x + 7y + -7y = -7 + 5y + -7y Combine like terms: 7y + -7y = 0 -7x + 0 = -7 + 5y + -7y -7x = -7 + 5y + -7y Combine like terms: 5y + -7y = -2y -7x = -7 + -2y Divide each side by '-7'. x = 1 + 0.2857142857y Simplifying x = 1 + 0.2857142857y
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