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Simplifying 0.8x + 0.3(200) = 0.4(130) Multiply 0.3 * 200 0.8x + 60 = 0.4(130) Reorder the terms: 60 + 0.8x = 0.4(130) Multiply 0.4 * 130 60 + 0.8x = 52 Solving 60 + 0.8x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 0.8x = 52 + -60 Combine like terms: 60 + -60 = 0 0 + 0.8x = 52 + -60 0.8x = 52 + -60 Combine like terms: 52 + -60 = -8 0.8x = -8 Divide each side by '0.8'. x = -10 Simplifying x = -10
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