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Simplifying 0.1x = 0.02(x + 2) Reorder the terms: 0.1x = 0.02(2 + x) 0.1x = (2 * 0.02 + x * 0.02) 0.1x = (0.04 + 0.02x) Solving 0.1x = 0.04 + 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. 0.1x + -0.02x = 0.04 + 0.02x + -0.02x Combine like terms: 0.1x + -0.02x = 0.08x 0.08x = 0.04 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 0.08x = 0.04 + 0.00 0.08x = 0.04 Divide each side by '0.08'. x = 0.5 Simplifying x = 0.5
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