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Simplifying 7.8 + 7.1(x) = x + 57.2 Reorder the terms: 7.8 + 7.1x = 57.2 + x Solving 7.8 + 7.1x = 57.2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7.8 + 7.1x + -1x = 57.2 + x + -1x Combine like terms: 7.1x + -1x = 6.1x 7.8 + 6.1x = 57.2 + x + -1x Combine like terms: x + -1x = 0 7.8 + 6.1x = 57.2 + 0 7.8 + 6.1x = 57.2 Add '-7.8' to each side of the equation. 7.8 + -7.8 + 6.1x = 57.2 + -7.8 Combine like terms: 7.8 + -7.8 = 0.0 0.0 + 6.1x = 57.2 + -7.8 6.1x = 57.2 + -7.8 Combine like terms: 57.2 + -7.8 = 49.4 6.1x = 49.4 Divide each side by '6.1'. x = 8.098360656 Simplifying x = 8.098360656
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