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Simplifying 4x + 10y = 10x + 14y Solving 4x + 10y = 10x + 14y 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. 4x + -10x + 10y = 10x + -10x + 14y Combine like terms: 4x + -10x = -6x -6x + 10y = 10x + -10x + 14y Combine like terms: 10x + -10x = 0 -6x + 10y = 0 + 14y -6x + 10y = 14y Add '-10y' to each side of the equation. -6x + 10y + -10y = 14y + -10y Combine like terms: 10y + -10y = 0 -6x + 0 = 14y + -10y -6x = 14y + -10y Combine like terms: 14y + -10y = 4y -6x = 4y Divide each side by '-6'. x = -0.6666666667y Simplifying x = -0.6666666667y
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