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Simplifying 5x + 7y = x + 4y Solving 5x + 7y = x + 4y 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. 5x + -1x + 7y = x + -1x + 4y Combine like terms: 5x + -1x = 4x 4x + 7y = x + -1x + 4y Combine like terms: x + -1x = 0 4x + 7y = 0 + 4y 4x + 7y = 4y Add '-7y' to each side of the equation. 4x + 7y + -7y = 4y + -7y Combine like terms: 7y + -7y = 0 4x + 0 = 4y + -7y 4x = 4y + -7y Combine like terms: 4y + -7y = -3y 4x = -3y Divide each side by '4'. x = -0.75y Simplifying x = -0.75y
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