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Simplifying 3.8x + 0.7 = 12.7 + -2.2x Reorder the terms: 0.7 + 3.8x = 12.7 + -2.2x Solving 0.7 + 3.8x = 12.7 + -2.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.2x' to each side of the equation. 0.7 + 3.8x + 2.2x = 12.7 + -2.2x + 2.2x Combine like terms: 3.8x + 2.2x = 6x 0.7 + 6x = 12.7 + -2.2x + 2.2x Combine like terms: -2.2x + 2.2x = 0.0 0.7 + 6x = 12.7 + 0.0 0.7 + 6x = 12.7 Add '-0.7' to each side of the equation. 0.7 + -0.7 + 6x = 12.7 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + 6x = 12.7 + -0.7 6x = 12.7 + -0.7 Combine like terms: 12.7 + -0.7 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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