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Simplifying (10x + -2y) + -1(2x + -7x) = 0 Remove parenthesis around (10x + -2y) 10x + -2y + -1(2x + -7x) = 0 Combine like terms: 2x + -7x = -5x 10x + -2y + -1(-5x) = 0 Remove parenthesis around (-5x) 10x + -2y + -1 * -5x = 0 Multiply -1 * -5 10x + -2y + 5x = 0 Reorder the terms: 10x + 5x + -2y = 0 Combine like terms: 10x + 5x = 15x 15x + -2y = 0 Solving 15x + -2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 15x + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 15x + 0 = 0 + 2y 15x = 0 + 2y Remove the zero: 15x = 2y Divide each side by '15'. x = 0.1333333333y Simplifying x = 0.1333333333y
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