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Simplifying 5(x + y) + -2(x + -1y) = 0 (x * 5 + y * 5) + -2(x + -1y) = 0 (5x + 5y) + -2(x + -1y) = 0 5x + 5y + (x * -2 + -1y * -2) = 0 5x + 5y + (-2x + 2y) = 0 Reorder the terms: 5x + -2x + 5y + 2y = 0 Combine like terms: 5x + -2x = 3x 3x + 5y + 2y = 0 Combine like terms: 5y + 2y = 7y 3x + 7y = 0 Solving 3x + 7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. 3x + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 3x + 0 = 0 + -7y 3x = 0 + -7y Remove the zero: 3x = -7y Divide each side by '3'. x = -2.333333333y Simplifying x = -2.333333333y
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