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Simplifying 3.1x + 45.7 = 13.6 + -7.6x Reorder the terms: 45.7 + 3.1x = 13.6 + -7.6x Solving 45.7 + 3.1x = 13.6 + -7.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7.6x' to each side of the equation. 45.7 + 3.1x + 7.6x = 13.6 + -7.6x + 7.6x Combine like terms: 3.1x + 7.6x = 10.7x 45.7 + 10.7x = 13.6 + -7.6x + 7.6x Combine like terms: -7.6x + 7.6x = 0.0 45.7 + 10.7x = 13.6 + 0.0 45.7 + 10.7x = 13.6 Add '-45.7' to each side of the equation. 45.7 + -45.7 + 10.7x = 13.6 + -45.7 Combine like terms: 45.7 + -45.7 = 0.0 0.0 + 10.7x = 13.6 + -45.7 10.7x = 13.6 + -45.7 Combine like terms: 13.6 + -45.7 = -32.1 10.7x = -32.1 Divide each side by '10.7'. x = -3 Simplifying x = -3
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