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Simplifying 0.12x + 0.20(5 + -1x) = 0.8 0.12x + (5 * 0.20 + -1x * 0.20) = 0.8 0.12x + (1 + -0.2x) = 0.8 Reorder the terms: 1 + 0.12x + -0.2x = 0.8 Combine like terms: 0.12x + -0.2x = -0.08x 1 + -0.08x = 0.8 Solving 1 + -0.08x = 0.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -0.08x = 0.8 + -1 Combine like terms: 1 + -1 = 0 0 + -0.08x = 0.8 + -1 -0.08x = 0.8 + -1 Combine like terms: 0.8 + -1 = -0.2 -0.08x = -0.2 Divide each side by '-0.08'. x = 2.5 Simplifying x = 2.5
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