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Simplifying 5(2x + 3y) + -1x + 4y = 0 (2x * 5 + 3y * 5) + -1x + 4y = 0 (10x + 15y) + -1x + 4y = 0 Reorder the terms: 10x + -1x + 15y + 4y = 0 Combine like terms: 10x + -1x = 9x 9x + 15y + 4y = 0 Combine like terms: 15y + 4y = 19y 9x + 19y = 0 Solving 9x + 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. 9x + 19y + -19y = 0 + -19y Combine like terms: 19y + -19y = 0 9x + 0 = 0 + -19y 9x = 0 + -19y Remove the zero: 9x = -19y Divide each side by '9'. x = -2.111111111y Simplifying x = -2.111111111y
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