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Simplifying 0.1x + 0.3(20 + -1x) = 0.16 * 20 0.1x + (20 * 0.3 + -1x * 0.3) = 0.16 * 20 0.1x + (6 + -0.3x) = 0.16 * 20 Reorder the terms: 6 + 0.1x + -0.3x = 0.16 * 20 Combine like terms: 0.1x + -0.3x = -0.2x 6 + -0.2x = 0.16 * 20 Multiply 0.16 * 20 6 + -0.2x = 3.2 Solving 6 + -0.2x = 3.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -0.2x = 3.2 + -6 Combine like terms: 6 + -6 = 0 0 + -0.2x = 3.2 + -6 -0.2x = 3.2 + -6 Combine like terms: 3.2 + -6 = -2.8 -0.2x = -2.8 Divide each side by '-0.2'. x = 14 Simplifying x = 14
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