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Simplifying (6x + -2y) + -1(3x + -7y) = x Remove parenthesis around (6x + -2y) 6x + -2y + -1(3x + -7y) = x 6x + -2y + (3x * -1 + -7y * -1) = x 6x + -2y + (-3x + 7y) = x Reorder the terms: 6x + -3x + -2y + 7y = x Combine like terms: 6x + -3x = 3x 3x + -2y + 7y = x Combine like terms: -2y + 7y = 5y 3x + 5y = x Solving 3x + 5y = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3x + -1x + 5y = x + -1x Combine like terms: 3x + -1x = 2x 2x + 5y = x + -1x Combine like terms: x + -1x = 0 2x + 5y = 0 Add '-5y' to each side of the equation. 2x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 2x + 0 = 0 + -5y 2x = 0 + -5y Remove the zero: 2x = -5y Divide each side by '2'. x = -2.5y Simplifying x = -2.5y
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