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Simplifying 4 + 5x = 6 + -7x Solving 4 + 5x = 6 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 4 + 5x + 7x = 6 + -7x + 7x Combine like terms: 5x + 7x = 12x 4 + 12x = 6 + -7x + 7x Combine like terms: -7x + 7x = 0 4 + 12x = 6 + 0 4 + 12x = 6 Add '-4' to each side of the equation. 4 + -4 + 12x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 12x = 6 + -4 12x = 6 + -4 Combine like terms: 6 + -4 = 2 12x = 2 Divide each side by '12'. x = 0.1666666667 Simplifying x = 0.1666666667
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