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Simplifying 5(2 + 3y) + -10(x + 5y) = 0 (2 * 5 + 3y * 5) + -10(x + 5y) = 0 (10 + 15y) + -10(x + 5y) = 0 10 + 15y + (x * -10 + 5y * -10) = 0 10 + 15y + (-10x + -50y) = 0 Reorder the terms: 10 + -10x + 15y + -50y = 0 Combine like terms: 15y + -50y = -35y 10 + -10x + -35y = 0 Solving 10 + -10x + -35y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10x + -10 + -35y = 0 + -10 Reorder the terms: 10 + -10 + -10x + -35y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -10x + -35y = 0 + -10 -10x + -35y = 0 + -10 Combine like terms: 0 + -10 = -10 -10x + -35y = -10 Add '35y' to each side of the equation. -10x + -35y + 35y = -10 + 35y Combine like terms: -35y + 35y = 0 -10x + 0 = -10 + 35y -10x = -10 + 35y Divide each side by '-10'. x = 1 + -3.5y Simplifying x = 1 + -3.5y
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