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Simplifying 9 + -1(6y + 2x) = 8(x + -1y) Reorder the terms: 9 + -1(2x + 6y) = 8(x + -1y) 9 + (2x * -1 + 6y * -1) = 8(x + -1y) 9 + (-2x + -6y) = 8(x + -1y) 9 + -2x + -6y = (x * 8 + -1y * 8) 9 + -2x + -6y = (8x + -8y) Solving 9 + -2x + -6y = 8x + -8y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 9 + -2x + -8x + -6y = 8x + -8x + -8y Combine like terms: -2x + -8x = -10x 9 + -10x + -6y = 8x + -8x + -8y Combine like terms: 8x + -8x = 0 9 + -10x + -6y = 0 + -8y 9 + -10x + -6y = -8y Add '-9' to each side of the equation. 9 + -10x + -9 + -6y = -9 + -8y Reorder the terms: 9 + -9 + -10x + -6y = -9 + -8y Combine like terms: 9 + -9 = 0 0 + -10x + -6y = -9 + -8y -10x + -6y = -9 + -8y Add '6y' to each side of the equation. -10x + -6y + 6y = -9 + -8y + 6y Combine like terms: -6y + 6y = 0 -10x + 0 = -9 + -8y + 6y -10x = -9 + -8y + 6y Combine like terms: -8y + 6y = -2y -10x = -9 + -2y Divide each side by '-10'. x = 0.9 + 0.2y Simplifying x = 0.9 + 0.2y
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