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Simplifying 0.8x + 5 = 6 + -0.2x Reorder the terms: 5 + 0.8x = 6 + -0.2x Solving 5 + 0.8x = 6 + -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. 5 + 0.8x + 0.2x = 6 + -0.2x + 0.2x Combine like terms: 0.8x + 0.2x = 1x 5 + 1x = 6 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 5 + 1x = 6 + 0.0 5 + 1x = 6 Add '-5' to each side of the equation. 5 + -5 + 1x = 6 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 6 + -5 1x = 6 + -5 Combine like terms: 6 + -5 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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