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Simplifying 5(x + -3y) + 2(4y + -1x) = 0 (x * 5 + -3y * 5) + 2(4y + -1x) = 0 (5x + -15y) + 2(4y + -1x) = 0 Reorder the terms: 5x + -15y + 2(-1x + 4y) = 0 5x + -15y + (-1x * 2 + 4y * 2) = 0 5x + -15y + (-2x + 8y) = 0 Reorder the terms: 5x + -2x + -15y + 8y = 0 Combine like terms: 5x + -2x = 3x 3x + -15y + 8y = 0 Combine like terms: -15y + 8y = -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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