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Simplifying (3x + -7y) + -1(x + 2y) = 0 Remove parenthesis around (3x + -7y) 3x + -7y + -1(x + 2y) = 0 3x + -7y + (x * -1 + 2y * -1) = 0 3x + -7y + (-1x + -2y) = 0 Reorder the terms: 3x + -1x + -7y + -2y = 0 Combine like terms: 3x + -1x = 2x 2x + -7y + -2y = 0 Combine like terms: -7y + -2y = -9y 2x + -9y = 0 Solving 2x + -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. 2x + -9y + 9y = 0 + 9y Combine like terms: -9y + 9y = 0 2x + 0 = 0 + 9y 2x = 0 + 9y Remove the zero: 2x = 9y Divide each side by '2'. x = 4.5y Simplifying x = 4.5y
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