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Simplifying 5(8x + -2y) + -5(2x + 5y) = 0 (8x * 5 + -2y * 5) + -5(2x + 5y) = 0 (40x + -10y) + -5(2x + 5y) = 0 40x + -10y + (2x * -5 + 5y * -5) = 0 40x + -10y + (-10x + -25y) = 0 Reorder the terms: 40x + -10x + -10y + -25y = 0 Combine like terms: 40x + -10x = 30x 30x + -10y + -25y = 0 Combine like terms: -10y + -25y = -35y 30x + -35y = 0 Solving 30x + -35y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35y' to each side of the equation. 30x + -35y + 35y = 0 + 35y Combine like terms: -35y + 35y = 0 30x + 0 = 0 + 35y 30x = 0 + 35y Remove the zero: 30x = 35y Divide each side by '30'. x = 1.166666667y Simplifying x = 1.166666667y
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