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Simplifying 0.4(x + 10) + 0.2 = 13 Reorder the terms: 0.4(10 + x) + 0.2 = 13 (10 * 0.4 + x * 0.4) + 0.2 = 13 (4 + 0.4x) + 0.2 = 13 Reorder the terms: 4 + 0.2 + 0.4x = 13 Combine like terms: 4 + 0.2 = 4.2 4.2 + 0.4x = 13 Solving 4.2 + 0.4x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.2' to each side of the equation. 4.2 + -4.2 + 0.4x = 13 + -4.2 Combine like terms: 4.2 + -4.2 = 0.0 0.0 + 0.4x = 13 + -4.2 0.4x = 13 + -4.2 Combine like terms: 13 + -4.2 = 8.8 0.4x = 8.8 Divide each side by '0.4'. x = 22 Simplifying x = 22
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