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Simplifying 0.04(x + 10) = 0.08x + 0.20 Reorder the terms: 0.04(10 + x) = 0.08x + 0.20 (10 * 0.04 + x * 0.04) = 0.08x + 0.20 (0.4 + 0.04x) = 0.08x + 0.20 Reorder the terms: 0.4 + 0.04x = 0.20 + 0.08x Solving 0.4 + 0.04x = 0.20 + 0.08x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.08x' to each side of the equation. 0.4 + 0.04x + -0.08x = 0.20 + 0.08x + -0.08x Combine like terms: 0.04x + -0.08x = -0.04x 0.4 + -0.04x = 0.20 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 0.4 + -0.04x = 0.20 + 0.00 0.4 + -0.04x = 0.20 Add '-0.4' to each side of the equation. 0.4 + -0.4 + -0.04x = 0.20 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -0.04x = 0.20 + -0.4 -0.04x = 0.20 + -0.4 Combine like terms: 0.20 + -0.4 = -0.2 -0.04x = -0.2 Divide each side by '-0.04'. x = 5 Simplifying x = 5
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