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Simplifying 2.2x + 47.6 = 27.4 + -7.9x Reorder the terms: 47.6 + 2.2x = 27.4 + -7.9x Solving 47.6 + 2.2x = 27.4 + -7.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7.9x' to each side of the equation. 47.6 + 2.2x + 7.9x = 27.4 + -7.9x + 7.9x Combine like terms: 2.2x + 7.9x = 10.1x 47.6 + 10.1x = 27.4 + -7.9x + 7.9x Combine like terms: -7.9x + 7.9x = 0.0 47.6 + 10.1x = 27.4 + 0.0 47.6 + 10.1x = 27.4 Add '-47.6' to each side of the equation. 47.6 + -47.6 + 10.1x = 27.4 + -47.6 Combine like terms: 47.6 + -47.6 = 0.0 0.0 + 10.1x = 27.4 + -47.6 10.1x = 27.4 + -47.6 Combine like terms: 27.4 + -47.6 = -20.2 10.1x = -20.2 Divide each side by '10.1'. x = -2 Simplifying x = -2
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