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Simplifying 8x + 4y = 10x + 5y Solving 8x + 4y = 10x + 5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 8x + -10x + 4y = 10x + -10x + 5y Combine like terms: 8x + -10x = -2x -2x + 4y = 10x + -10x + 5y Combine like terms: 10x + -10x = 0 -2x + 4y = 0 + 5y -2x + 4y = 5y Add '-4y' to each side of the equation. -2x + 4y + -4y = 5y + -4y Combine like terms: 4y + -4y = 0 -2x + 0 = 5y + -4y -2x = 5y + -4y Combine like terms: 5y + -4y = 1y -2x = 1y Divide each side by '-2'. x = -0.5y Simplifying x = -0.5y
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