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Simplifying 5x + 4y = -2x + 10y Solving 5x + 4y = -2x + 10y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 5x + 2x + 4y = -2x + 2x + 10y Combine like terms: 5x + 2x = 7x 7x + 4y = -2x + 2x + 10y Combine like terms: -2x + 2x = 0 7x + 4y = 0 + 10y 7x + 4y = 10y Add '-4y' to each side of the equation. 7x + 4y + -4y = 10y + -4y Combine like terms: 4y + -4y = 0 7x + 0 = 10y + -4y 7x = 10y + -4y Combine like terms: 10y + -4y = 6y 7x = 6y Divide each side by '7'. x = 0.8571428571y Simplifying x = 0.8571428571y
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