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Simplifying 0.2x + 0.6x + 12 = -8 + 0.4x Reorder the terms: 12 + 0.2x + 0.6x = -8 + 0.4x Combine like terms: 0.2x + 0.6x = 0.8x 12 + 0.8x = -8 + 0.4x Solving 12 + 0.8x = -8 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 12 + 0.8x + -0.4x = -8 + 0.4x + -0.4x Combine like terms: 0.8x + -0.4x = 0.4x 12 + 0.4x = -8 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 12 + 0.4x = -8 + 0.0 12 + 0.4x = -8 Add '-12' to each side of the equation. 12 + -12 + 0.4x = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 0.4x = -8 + -12 0.4x = -8 + -12 Combine like terms: -8 + -12 = -20 0.4x = -20 Divide each side by '0.4'. x = -50 Simplifying x = -50
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