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Simplifying 0.4x = 0.2(x + -8) Reorder the terms: 0.4x = 0.2(-8 + x) 0.4x = (-8 * 0.2 + x * 0.2) 0.4x = (-1.6 + 0.2x) Solving 0.4x = -1.6 + 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. 0.4x + -0.2x = -1.6 + 0.2x + -0.2x Combine like terms: 0.4x + -0.2x = 0.2x 0.2x = -1.6 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 0.2x = -1.6 + 0.0 0.2x = -1.6 Divide each side by '0.2'. x = -8 Simplifying x = -8
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