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Simplifying 0.4x + 6 = 0.02x + 0.01 Reorder the terms: 6 + 0.4x = 0.02x + 0.01 Reorder the terms: 6 + 0.4x = 0.01 + 0.02x Solving 6 + 0.4x = 0.01 + 0.02x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.02x' to each side of the equation. 6 + 0.4x + -0.02x = 0.01 + 0.02x + -0.02x Combine like terms: 0.4x + -0.02x = 0.38x 6 + 0.38x = 0.01 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 6 + 0.38x = 0.01 + 0.00 6 + 0.38x = 0.01 Add '-6' to each side of the equation. 6 + -6 + 0.38x = 0.01 + -6 Combine like terms: 6 + -6 = 0 0 + 0.38x = 0.01 + -6 0.38x = 0.01 + -6 Combine like terms: 0.01 + -6 = -5.99 0.38x = -5.99 Divide each side by '0.38'. x = -15.76315789 Simplifying x = -15.76315789
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