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Simplifying 7x + 4.6 = x + 8 Reorder the terms: 4.6 + 7x = x + 8 Reorder the terms: 4.6 + 7x = 8 + x Solving 4.6 + 7x = 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. 4.6 + 7x + -1x = 8 + x + -1x Combine like terms: 7x + -1x = 6x 4.6 + 6x = 8 + x + -1x Combine like terms: x + -1x = 0 4.6 + 6x = 8 + 0 4.6 + 6x = 8 Add '-4.6' to each side of the equation. 4.6 + -4.6 + 6x = 8 + -4.6 Combine like terms: 4.6 + -4.6 = 0.0 0.0 + 6x = 8 + -4.6 6x = 8 + -4.6 Combine like terms: 8 + -4.6 = 3.4 6x = 3.4 Divide each side by '6'. x = 0.5666666667 Simplifying x = 0.5666666667
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