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Simplifying 0.8x + 6.2 = 0.2x + -1.0 Reorder the terms: 6.2 + 0.8x = 0.2x + -1.0 Reorder the terms: 6.2 + 0.8x = -1.0 + 0.2x Solving 6.2 + 0.8x = -1.0 + 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. 6.2 + 0.8x + -0.2x = -1.0 + 0.2x + -0.2x Combine like terms: 0.8x + -0.2x = 0.6x 6.2 + 0.6x = -1.0 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 6.2 + 0.6x = -1.0 + 0.0 6.2 + 0.6x = -1.0 Add '-6.2' to each side of the equation. 6.2 + -6.2 + 0.6x = -1.0 + -6.2 Combine like terms: 6.2 + -6.2 = 0.0 0.0 + 0.6x = -1.0 + -6.2 0.6x = -1.0 + -6.2 Combine like terms: -1.0 + -6.2 = -7.2 0.6x = -7.2 Divide each side by '0.6'. x = -12 Simplifying x = -12
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