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Simplifying 5(2x + 3y) + -2(2x + 5y) = 0 (2x * 5 + 3y * 5) + -2(2x + 5y) = 0 (10x + 15y) + -2(2x + 5y) = 0 10x + 15y + (2x * -2 + 5y * -2) = 0 10x + 15y + (-4x + -10y) = 0 Reorder the terms: 10x + -4x + 15y + -10y = 0 Combine like terms: 10x + -4x = 6x 6x + 15y + -10y = 0 Combine like terms: 15y + -10y = 5y 6x + 5y = 0 Solving 6x + 5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 6x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 6x + 0 = 0 + -5y 6x = 0 + -5y Remove the zero: 6x = -5y Divide each side by '6'. x = -0.8333333333y Simplifying x = -0.8333333333y
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