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Simplifying 45 + 5x = 6 + -2x Solving 45 + 5x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 45 + 5x + 2x = 6 + -2x + 2x Combine like terms: 5x + 2x = 7x 45 + 7x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 45 + 7x = 6 + 0 45 + 7x = 6 Add '-45' to each side of the equation. 45 + -45 + 7x = 6 + -45 Combine like terms: 45 + -45 = 0 0 + 7x = 6 + -45 7x = 6 + -45 Combine like terms: 6 + -45 = -39 7x = -39 Divide each side by '7'. x = -5.571428571 Simplifying x = -5.571428571
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