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Simplifying (3x + -2y) + (3x + -8y) = 12 + -6 Remove parenthesis around (3x + -2y) 3x + -2y + (3x + -8y) = 12 + -6 Remove parenthesis around (3x + -8y) 3x + -2y + 3x + -8y = 12 + -6 Reorder the terms: 3x + 3x + -2y + -8y = 12 + -6 Combine like terms: 3x + 3x = 6x 6x + -2y + -8y = 12 + -6 Combine like terms: -2y + -8y = -10y 6x + -10y = 12 + -6 Combine like terms: 12 + -6 = 6 6x + -10y = 6 Solving 6x + -10y = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10y' to each side of the equation. 6x + -10y + 10y = 6 + 10y Combine like terms: -10y + 10y = 0 6x + 0 = 6 + 10y 6x = 6 + 10y Divide each side by '6'. x = 1 + 1.666666667y Simplifying x = 1 + 1.666666667y
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