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Simplifying 10x + 8(x + -1y) + -1y = 0 10x + (x * 8 + -1y * 8) + -1y = 0 10x + (8x + -8y) + -1y = 0 Combine like terms: 10x + 8x = 18x 18x + -8y + -1y = 0 Combine like terms: -8y + -1y = -9y 18x + -9y = 0 Solving 18x + -9y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9y' to each side of the equation. 18x + -9y + 9y = 0 + 9y Combine like terms: -9y + 9y = 0 18x + 0 = 0 + 9y 18x = 0 + 9y Remove the zero: 18x = 9y Divide each side by '18'. x = 0.5y Simplifying x = 0.5y
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