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Simplifying 5y + -2x = 8x + 7y Reorder the terms: -2x + 5y = 8x + 7y Solving -2x + 5y = 8x + 7y 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. -2x + -8x + 5y = 8x + -8x + 7y Combine like terms: -2x + -8x = -10x -10x + 5y = 8x + -8x + 7y Combine like terms: 8x + -8x = 0 -10x + 5y = 0 + 7y -10x + 5y = 7y Add '-5y' to each side of the equation. -10x + 5y + -5y = 7y + -5y Combine like terms: 5y + -5y = 0 -10x + 0 = 7y + -5y -10x = 7y + -5y Combine like terms: 7y + -5y = 2y -10x = 2y Divide each side by '-10'. x = -0.2y Simplifying x = -0.2y
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