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Simplifying 9 + -1(2y + 2x) = 6(x + -1y) Reorder the terms: 9 + -1(2x + 2y) = 6(x + -1y) 9 + (2x * -1 + 2y * -1) = 6(x + -1y) 9 + (-2x + -2y) = 6(x + -1y) 9 + -2x + -2y = (x * 6 + -1y * 6) 9 + -2x + -2y = (6x + -6y) Solving 9 + -2x + -2y = 6x + -6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 9 + -2x + -6x + -2y = 6x + -6x + -6y Combine like terms: -2x + -6x = -8x 9 + -8x + -2y = 6x + -6x + -6y Combine like terms: 6x + -6x = 0 9 + -8x + -2y = 0 + -6y 9 + -8x + -2y = -6y Add '-9' to each side of the equation. 9 + -8x + -9 + -2y = -9 + -6y Reorder the terms: 9 + -9 + -8x + -2y = -9 + -6y Combine like terms: 9 + -9 = 0 0 + -8x + -2y = -9 + -6y -8x + -2y = -9 + -6y Add '2y' to each side of the equation. -8x + -2y + 2y = -9 + -6y + 2y Combine like terms: -2y + 2y = 0 -8x + 0 = -9 + -6y + 2y -8x = -9 + -6y + 2y Combine like terms: -6y + 2y = -4y -8x = -9 + -4y Divide each side by '-8'. x = 1.125 + 0.5y Simplifying x = 1.125 + 0.5y
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