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Simplifying 7.1x + 2 = 6.1x Reorder the terms: 2 + 7.1x = 6.1x Solving 2 + 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. 2 + 7.1x + -6.1x = 6.1x + -6.1x Combine like terms: 7.1x + -6.1x = 1x 2 + 1x = 6.1x + -6.1x Combine like terms: 6.1x + -6.1x = 0.0 2 + 1x = 0.0 Add '-2' to each side of the equation. 2 + -2 + 1x = 0.0 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 0.0 + -2 1x = 0.0 + -2 Combine like terms: 0.0 + -2 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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