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Simplifying 7.8 + 9.6x = x + 53.8 Reorder the terms: 7.8 + 9.6x = 53.8 + x Solving 7.8 + 9.6x = 53.8 + 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 + 9.6x + -1x = 53.8 + x + -1x Combine like terms: 9.6x + -1x = 8.6x 7.8 + 8.6x = 53.8 + x + -1x Combine like terms: x + -1x = 0 7.8 + 8.6x = 53.8 + 0 7.8 + 8.6x = 53.8 Add '-7.8' to each side of the equation. 7.8 + -7.8 + 8.6x = 53.8 + -7.8 Combine like terms: 7.8 + -7.8 = 0.0 0.0 + 8.6x = 53.8 + -7.8 8.6x = 53.8 + -7.8 Combine like terms: 53.8 + -7.8 = 46 8.6x = 46 Divide each side by '8.6'. x = 5.348837209 Simplifying x = 5.348837209
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