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Simplifying 0.04X + 0.05(16 + -1X) = 0.10(-34) 0.04X + (16 * 0.05 + -1X * 0.05) = 0.10(-34) 0.04X + (0.8 + -0.05X) = 0.10(-34) Reorder the terms: 0.8 + 0.04X + -0.05X = 0.10(-34) Combine like terms: 0.04X + -0.05X = -0.01X 0.8 + -0.01X = 0.10(-34) Multiply 0.10 * -34 0.8 + -0.01X = -3.4 Solving 0.8 + -0.01X = -3.4 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.8' to each side of the equation. 0.8 + -0.8 + -0.01X = -3.4 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -0.01X = -3.4 + -0.8 -0.01X = -3.4 + -0.8 Combine like terms: -3.4 + -0.8 = -4.2 -0.01X = -4.2 Divide each side by '-0.01'. X = 420 Simplifying X = 420
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