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Simplifying 5(8x + -2y) + -5(2x + 3y) = 0 (8x * 5 + -2y * 5) + -5(2x + 3y) = 0 (40x + -10y) + -5(2x + 3y) = 0 40x + -10y + (2x * -5 + 3y * -5) = 0 40x + -10y + (-10x + -15y) = 0 Reorder the terms: 40x + -10x + -10y + -15y = 0 Combine like terms: 40x + -10x = 30x 30x + -10y + -15y = 0 Combine like terms: -10y + -15y = -25y 30x + -25y = 0 Solving 30x + -25y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25y' to each side of the equation. 30x + -25y + 25y = 0 + 25y Combine like terms: -25y + 25y = 0 30x + 0 = 0 + 25y 30x = 0 + 25y Remove the zero: 30x = 25y Divide each side by '30'. x = 0.8333333333y Simplifying x = 0.8333333333y
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