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Simplifying (5x + 30y) + -1(-5x + -10y) = 0 Remove parenthesis around (5x + 30y) 5x + 30y + -1(-5x + -10y) = 0 5x + 30y + (-5x * -1 + -10y * -1) = 0 5x + 30y + (5x + 10y) = 0 Reorder the terms: 5x + 5x + 30y + 10y = 0 Combine like terms: 5x + 5x = 10x 10x + 30y + 10y = 0 Combine like terms: 30y + 10y = 40y 10x + 40y = 0 Solving 10x + 40y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40y' to each side of the equation. 10x + 40y + -40y = 0 + -40y Combine like terms: 40y + -40y = 0 10x + 0 = 0 + -40y 10x = 0 + -40y Remove the zero: 10x = -40y Divide each side by '10'. x = -4y Simplifying x = -4y
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