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Simplifying 10x + 7y = 8x + 5y Solving 10x + 7y = 8x + 5y 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. 10x + -8x + 7y = 8x + -8x + 5y Combine like terms: 10x + -8x = 2x 2x + 7y = 8x + -8x + 5y Combine like terms: 8x + -8x = 0 2x + 7y = 0 + 5y 2x + 7y = 5y Add '-7y' to each side of the equation. 2x + 7y + -7y = 5y + -7y Combine like terms: 7y + -7y = 0 2x + 0 = 5y + -7y 2x = 5y + -7y Combine like terms: 5y + -7y = -2y 2x = -2y Divide each side by '2'. x = -1y Simplifying x = -1y
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