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Simplifying 4y + 7x = 10y + x Reorder the terms: 7x + 4y = 10y + x Reorder the terms: 7x + 4y = x + 10y Solving 7x + 4y = x + 10y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7x + -1x + 4y = x + -1x + 10y Combine like terms: 7x + -1x = 6x 6x + 4y = x + -1x + 10y Combine like terms: x + -1x = 0 6x + 4y = 0 + 10y 6x + 4y = 10y Add '-4y' to each side of the equation. 6x + 4y + -4y = 10y + -4y Combine like terms: 4y + -4y = 0 6x + 0 = 10y + -4y 6x = 10y + -4y Combine like terms: 10y + -4y = 6y 6x = 6y Divide each side by '6'. x = y Simplifying x = y
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