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Simplifying 0.8 = 5.9x + -6.1x + 2.4 Reorder the terms: 0.8 = 2.4 + 5.9x + -6.1x Combine like terms: 5.9x + -6.1x = -0.2x 0.8 = 2.4 + -0.2x Solving 0.8 = 2.4 + -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 + 0.2x = 2.4 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 0.8 + 0.2x = 2.4 + 0.0 0.8 + 0.2x = 2.4 Add '-0.8' to each side of the equation. 0.8 + -0.8 + 0.2x = 2.4 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 0.2x = 2.4 + -0.8 0.2x = 2.4 + -0.8 Combine like terms: 2.4 + -0.8 = 1.6 0.2x = 1.6 Divide each side by '0.2'. x = 8 Simplifying x = 8
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