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Simplifying (5x + -1y) + -1(-10x + 2y) = 5 Remove parenthesis around (5x + -1y) 5x + -1y + -1(-10x + 2y) = 5 5x + -1y + (-10x * -1 + 2y * -1) = 5 5x + -1y + (10x + -2y) = 5 Reorder the terms: 5x + 10x + -1y + -2y = 5 Combine like terms: 5x + 10x = 15x 15x + -1y + -2y = 5 Combine like terms: -1y + -2y = -3y 15x + -3y = 5 Solving 15x + -3y = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 15x + -3y + 3y = 5 + 3y Combine like terms: -3y + 3y = 0 15x + 0 = 5 + 3y 15x = 5 + 3y Divide each side by '15'. x = 0.3333333333 + 0.2y Simplifying x = 0.3333333333 + 0.2y
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