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Simplifying 1.4x + 0.8 = 8 + -0.2x Reorder the terms: 0.8 + 1.4x = 8 + -0.2x Solving 0.8 + 1.4x = 8 + -0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2x' to each side of the equation. 0.8 + 1.4x + 0.2x = 8 + -0.2x + 0.2x Combine like terms: 1.4x + 0.2x = 1.6x 0.8 + 1.6x = 8 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 0.8 + 1.6x = 8 + 0.0 0.8 + 1.6x = 8 Add '-0.8' to each side of the equation. 0.8 + -0.8 + 1.6x = 8 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 1.6x = 8 + -0.8 1.6x = 8 + -0.8 Combine like terms: 8 + -0.8 = 7.2 1.6x = 7.2 Divide each side by '1.6'. x = 4.5 Simplifying x = 4.5
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