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Simplifying 10x + 10y = 4x + 7y Solving 10x + 10y = 4x + 7y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 10x + -4x + 10y = 4x + -4x + 7y Combine like terms: 10x + -4x = 6x 6x + 10y = 4x + -4x + 7y Combine like terms: 4x + -4x = 0 6x + 10y = 0 + 7y 6x + 10y = 7y Add '-10y' to each side of the equation. 6x + 10y + -10y = 7y + -10y Combine like terms: 10y + -10y = 0 6x + 0 = 7y + -10y 6x = 7y + -10y Combine like terms: 7y + -10y = -3y 6x = -3y Divide each side by '6'. x = -0.5y Simplifying x = -0.5y
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