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Simplifying 7.1x + 1 = 6.1x Reorder the terms: 1 + 7.1x = 6.1x Solving 1 + 7.1x = 6.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.1x' to each side of the equation. 1 + 7.1x + -6.1x = 6.1x + -6.1x Combine like terms: 7.1x + -6.1x = 1x 1 + 1x = 6.1x + -6.1x Combine like terms: 6.1x + -6.1x = 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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