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Simplifying 1.2x + 3.8 = 0.8x + 1.6 Reorder the terms: 3.8 + 1.2x = 0.8x + 1.6 Reorder the terms: 3.8 + 1.2x = 1.6 + 0.8x Solving 3.8 + 1.2x = 1.6 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 3.8 + 1.2x + -0.8x = 1.6 + 0.8x + -0.8x Combine like terms: 1.2x + -0.8x = 0.4x 3.8 + 0.4x = 1.6 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 3.8 + 0.4x = 1.6 + 0.0 3.8 + 0.4x = 1.6 Add '-3.8' to each side of the equation. 3.8 + -3.8 + 0.4x = 1.6 + -3.8 Combine like terms: 3.8 + -3.8 = 0.0 0.0 + 0.4x = 1.6 + -3.8 0.4x = 1.6 + -3.8 Combine like terms: 1.6 + -3.8 = -2.2 0.4x = -2.2 Divide each side by '0.4'. x = -5.5 Simplifying x = -5.5
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