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Simplifying 7x + -1y = 6 + 2(y + -1x) Reorder the terms: 7x + -1y = 6 + 2(-1x + y) 7x + -1y = 6 + (-1x * 2 + y * 2) 7x + -1y = 6 + (-2x + 2y) Solving 7x + -1y = 6 + -2x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 7x + 2x + -1y = 6 + -2x + 2x + 2y Combine like terms: 7x + 2x = 9x 9x + -1y = 6 + -2x + 2x + 2y Combine like terms: -2x + 2x = 0 9x + -1y = 6 + 0 + 2y 9x + -1y = 6 + 2y Add 'y' to each side of the equation. 9x + -1y + y = 6 + 2y + y Combine like terms: -1y + y = 0 9x + 0 = 6 + 2y + y 9x = 6 + 2y + y Combine like terms: 2y + y = 3y 9x = 6 + 3y Divide each side by '9'. x = 0.6666666667 + 0.3333333333y Simplifying x = 0.6666666667 + 0.3333333333y
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