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Simplifying (6x + -3y) + -1(2x + -8x) = 0 Remove parenthesis around (6x + -3y) 6x + -3y + -1(2x + -8x) = 0 Combine like terms: 2x + -8x = -6x 6x + -3y + -1(-6x) = 0 Remove parenthesis around (-6x) 6x + -3y + -1 * -6x = 0 Multiply -1 * -6 6x + -3y + 6x = 0 Reorder the terms: 6x + 6x + -3y = 0 Combine like terms: 6x + 6x = 12x 12x + -3y = 0 Solving 12x + -3y = 0 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. 12x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 12x + 0 = 0 + 3y 12x = 0 + 3y Remove the zero: 12x = 3y Divide each side by '12'. x = 0.25y Simplifying x = 0.25y
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