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Simplifying 7.8x + 1 = 6.8x Reorder the terms: 1 + 7.8x = 6.8x Solving 1 + 7.8x = 6.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.8x' to each side of the equation. 1 + 7.8x + -6.8x = 6.8x + -6.8x Combine like terms: 7.8x + -6.8x = 1x 1 + 1x = 6.8x + -6.8x Combine like terms: 6.8x + -6.8x = 0.0 1 + 1x = 0.0 Add '-1' to each side of the equation. 1 + -1 + 1x = 0.0 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 0.0 + -1 1x = 0.0 + -1 Combine like terms: 0.0 + -1 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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