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Simplifying 7x + 9y = 8y + -1x Reorder the terms: 7x + 9y = -1x + 8y Solving 7x + 9y = -1x + 8y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 7x + x + 9y = -1x + x + 8y Combine like terms: 7x + x = 8x 8x + 9y = -1x + x + 8y Combine like terms: -1x + x = 0 8x + 9y = 0 + 8y 8x + 9y = 8y Add '-9y' to each side of the equation. 8x + 9y + -9y = 8y + -9y Combine like terms: 9y + -9y = 0 8x + 0 = 8y + -9y 8x = 8y + -9y Combine like terms: 8y + -9y = -1y 8x = -1y Divide each side by '8'. x = -0.125y Simplifying x = -0.125y
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