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Simplifying (6x + -2y) + (-5x + 5y) = 5 + -6 Remove parenthesis around (6x + -2y) 6x + -2y + (-5x + 5y) = 5 + -6 Remove parenthesis around (-5x + 5y) 6x + -2y + -5x + 5y = 5 + -6 Reorder the terms: 6x + -5x + -2y + 5y = 5 + -6 Combine like terms: 6x + -5x = 1x 1x + -2y + 5y = 5 + -6 Combine like terms: -2y + 5y = 3y 1x + 3y = 5 + -6 Combine like terms: 5 + -6 = -1 1x + 3y = -1 Solving 1x + 3y = -1 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. 1x + 3y + -3y = -1 + -3y Combine like terms: 3y + -3y = 0 1x + 0 = -1 + -3y 1x = -1 + -3y Divide each side by '1'. x = -1 + -3y Simplifying x = -1 + -3y
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