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Simplifying 0.05x + 0.13(x + 4) = 0.1(2x + 4) Reorder the terms: 0.05x + 0.13(4 + x) = 0.1(2x + 4) 0.05x + (4 * 0.13 + x * 0.13) = 0.1(2x + 4) 0.05x + (0.52 + 0.13x) = 0.1(2x + 4) Reorder the terms: 0.52 + 0.05x + 0.13x = 0.1(2x + 4) Combine like terms: 0.05x + 0.13x = 0.18x 0.52 + 0.18x = 0.1(2x + 4) Reorder the terms: 0.52 + 0.18x = 0.1(4 + 2x) 0.52 + 0.18x = (4 * 0.1 + 2x * 0.1) 0.52 + 0.18x = (0.4 + 0.2x) Solving 0.52 + 0.18x = 0.4 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 0.52 + 0.18x + -0.2x = 0.4 + 0.2x + -0.2x Combine like terms: 0.18x + -0.2x = -0.02x 0.52 + -0.02x = 0.4 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 0.52 + -0.02x = 0.4 + 0.0 0.52 + -0.02x = 0.4 Add '-0.52' to each side of the equation. 0.52 + -0.52 + -0.02x = 0.4 + -0.52 Combine like terms: 0.52 + -0.52 = 0.00 0.00 + -0.02x = 0.4 + -0.52 -0.02x = 0.4 + -0.52 Combine like terms: 0.4 + -0.52 = -0.12 -0.02x = -0.12 Divide each side by '-0.02'. x = 6 Simplifying x = 6
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