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Simplifying 4(x + 2y) + -1(x + y) = 0 (x * 4 + 2y * 4) + -1(x + y) = 0 (4x + 8y) + -1(x + y) = 0 4x + 8y + (x * -1 + y * -1) = 0 4x + 8y + (-1x + -1y) = 0 Reorder the terms: 4x + -1x + 8y + -1y = 0 Combine like terms: 4x + -1x = 3x 3x + 8y + -1y = 0 Combine like terms: 8y + -1y = 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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