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Simplifying 5.1 + 78 = 7.6x + 18 Combine like terms: 5.1 + 78 = 83.1 83.1 = 7.6x + 18 Reorder the terms: 83.1 = 18 + 7.6x Solving 83.1 = 18 + 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. 83.1 + -7.6x = 18 + 7.6x + -7.6x Combine like terms: 7.6x + -7.6x = 0.0 83.1 + -7.6x = 18 + 0.0 83.1 + -7.6x = 18 Add '-83.1' to each side of the equation. 83.1 + -83.1 + -7.6x = 18 + -83.1 Combine like terms: 83.1 + -83.1 = 0.0 0.0 + -7.6x = 18 + -83.1 -7.6x = 18 + -83.1 Combine like terms: 18 + -83.1 = -65.1 -7.6x = -65.1 Divide each side by '-7.6'. x = 8.565789474 Simplifying x = 8.565789474
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