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Simplifying 3x + 7y = 5 + -4x + 3y Solving 3x + 7y = 5 + -4x + 3y 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. 3x + 4x + 7y = 5 + -4x + 4x + 3y Combine like terms: 3x + 4x = 7x 7x + 7y = 5 + -4x + 4x + 3y Combine like terms: -4x + 4x = 0 7x + 7y = 5 + 0 + 3y 7x + 7y = 5 + 3y Add '-7y' to each side of the equation. 7x + 7y + -7y = 5 + 3y + -7y Combine like terms: 7y + -7y = 0 7x + 0 = 5 + 3y + -7y 7x = 5 + 3y + -7y Combine like terms: 3y + -7y = -4y 7x = 5 + -4y Divide each side by '7'. x = 0.7142857143 + -0.5714285714y Simplifying x = 0.7142857143 + -0.5714285714y
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