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Simplifying 6x + 5 = 0.2x + -0.8 Reorder the terms: 5 + 6x = 0.2x + -0.8 Reorder the terms: 5 + 6x = -0.8 + 0.2x Solving 5 + 6x = -0.8 + 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. 5 + 6x + -0.2x = -0.8 + 0.2x + -0.2x Combine like terms: 6x + -0.2x = 5.8x 5 + 5.8x = -0.8 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 5 + 5.8x = -0.8 + 0.0 5 + 5.8x = -0.8 Add '-5' to each side of the equation. 5 + -5 + 5.8x = -0.8 + -5 Combine like terms: 5 + -5 = 0 0 + 5.8x = -0.8 + -5 5.8x = -0.8 + -5 Combine like terms: -0.8 + -5 = -5.8 5.8x = -5.8 Divide each side by '5.8'. x = -1 Simplifying x = -1
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