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Simplifying 0.2 + 0.8x = [-6 + 0.2x] + -4 Remove brackets around [-6 + 0.2x] 0.2 + 0.8x = -6 + 0.2x + -4 Reorder the terms: 0.2 + 0.8x = -6 + -4 + 0.2x Combine like terms: -6 + -4 = -10 0.2 + 0.8x = -10 + 0.2x Solving 0.2 + 0.8x = -10 + 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. 0.2 + 0.8x + -0.2x = -10 + 0.2x + -0.2x Combine like terms: 0.8x + -0.2x = 0.6x 0.2 + 0.6x = -10 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 0.2 + 0.6x = -10 + 0.0 0.2 + 0.6x = -10 Add '-0.2' to each side of the equation. 0.2 + -0.2 + 0.6x = -10 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.6x = -10 + -0.2 0.6x = -10 + -0.2 Combine like terms: -10 + -0.2 = -10.2 0.6x = -10.2 Divide each side by '0.6'. x = -17 Simplifying x = -17
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