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Simplifying -4(-1x + -1y) + 5(3y + 2x) = 0 (-1x * -4 + -1y * -4) + 5(3y + 2x) = 0 (4x + 4y) + 5(3y + 2x) = 0 Reorder the terms: 4x + 4y + 5(2x + 3y) = 0 4x + 4y + (2x * 5 + 3y * 5) = 0 4x + 4y + (10x + 15y) = 0 Reorder the terms: 4x + 10x + 4y + 15y = 0 Combine like terms: 4x + 10x = 14x 14x + 4y + 15y = 0 Combine like terms: 4y + 15y = 19y 14x + 19y = 0 Solving 14x + 19y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19y' to each side of the equation. 14x + 19y + -19y = 0 + -19y Combine like terms: 19y + -19y = 0 14x + 0 = 0 + -19y 14x = 0 + -19y Remove the zero: 14x = -19y Divide each side by '14'. x = -1.357142857y Simplifying x = -1.357142857y
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