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Simplifying 3x + 5y = 10x + 4y Solving 3x + 5y = 10x + 4y 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. 3x + -10x + 5y = 10x + -10x + 4y Combine like terms: 3x + -10x = -7x -7x + 5y = 10x + -10x + 4y Combine like terms: 10x + -10x = 0 -7x + 5y = 0 + 4y -7x + 5y = 4y Add '-5y' to each side of the equation. -7x + 5y + -5y = 4y + -5y Combine like terms: 5y + -5y = 0 -7x + 0 = 4y + -5y -7x = 4y + -5y Combine like terms: 4y + -5y = -1y -7x = -1y Divide each side by '-7'. x = 0.1428571429y Simplifying x = 0.1428571429y
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