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Simplifying (-5 + 30y) + -1(-5x + -10y) = 0 Remove parenthesis around (-5 + 30y) -5 + 30y + -1(-5x + -10y) = 0 -5 + 30y + (-5x * -1 + -10y * -1) = 0 -5 + 30y + (5x + 10y) = 0 Reorder the terms: -5 + 5x + 30y + 10y = 0 Combine like terms: 30y + 10y = 40y -5 + 5x + 40y = 0 Solving -5 + 5x + 40y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5x + 5 + 40y = 0 + 5 Reorder the terms: -5 + 5 + 5x + 40y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 5x + 40y = 0 + 5 5x + 40y = 0 + 5 Combine like terms: 0 + 5 = 5 5x + 40y = 5 Add '-40y' to each side of the equation. 5x + 40y + -40y = 5 + -40y Combine like terms: 40y + -40y = 0 5x + 0 = 5 + -40y 5x = 5 + -40y Divide each side by '5'. x = 1 + -8y Simplifying x = 1 + -8y
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