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Simplifying 0.02x + 0.15(8 + -1x) = 0.4 0.02x + (8 * 0.15 + -1x * 0.15) = 0.4 0.02x + (1.2 + -0.15x) = 0.4 Reorder the terms: 1.2 + 0.02x + -0.15x = 0.4 Combine like terms: 0.02x + -0.15x = -0.13x 1.2 + -0.13x = 0.4 Solving 1.2 + -0.13x = 0.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2' to each side of the equation. 1.2 + -1.2 + -0.13x = 0.4 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -0.13x = 0.4 + -1.2 -0.13x = 0.4 + -1.2 Combine like terms: 0.4 + -1.2 = -0.8 -0.13x = -0.8 Divide each side by '-0.13'. x = 6.153846154 Simplifying x = 6.153846154
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