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Simplifying 5(x + -1y) + 2x + -3y = 0 (x * 5 + -1y * 5) + 2x + -3y = 0 (5x + -5y) + 2x + -3y = 0 Reorder the terms: 5x + 2x + -5y + -3y = 0 Combine like terms: 5x + 2x = 7x 7x + -5y + -3y = 0 Combine like terms: -5y + -3y = -8y 7x + -8y = 0 Solving 7x + -8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8y' to each side of the equation. 7x + -8y + 8y = 0 + 8y Combine like terms: -8y + 8y = 0 7x + 0 = 0 + 8y 7x = 0 + 8y Remove the zero: 7x = 8y Divide each side by '7'. x = 1.142857143y Simplifying x = 1.142857143y
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