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Simplifying (3x + 7y) + (6x + 2y) = 4 + -4 Remove parenthesis around (3x + 7y) 3x + 7y + (6x + 2y) = 4 + -4 Remove parenthesis around (6x + 2y) 3x + 7y + 6x + 2y = 4 + -4 Reorder the terms: 3x + 6x + 7y + 2y = 4 + -4 Combine like terms: 3x + 6x = 9x 9x + 7y + 2y = 4 + -4 Combine like terms: 7y + 2y = 9y 9x + 9y = 4 + -4 Combine like terms: 4 + -4 = 0 9x + 9y = 0 Solving 9x + 9y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9y' to each side of the equation. 9x + 9y + -9y = 0 + -9y Combine like terms: 9y + -9y = 0 9x + 0 = 0 + -9y 9x = 0 + -9y Remove the zero: 9x = -9y Divide each side by '9'. x = -1y Simplifying x = -1y
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