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Simplifying 0.10(x + 40) + 0.30x = 8 Reorder the terms: 0.10(40 + x) + 0.30x = 8 (40 * 0.10 + x * 0.10) + 0.30x = 8 (4 + 0.10x) + 0.30x = 8 Combine like terms: 0.10x + 0.30x = 0.4x 4 + 0.4x = 8 Solving 4 + 0.4x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 0.4x = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 0.4x = 8 + -4 0.4x = 8 + -4 Combine like terms: 8 + -4 = 4 0.4x = 4 Divide each side by '0.4'. x = 10 Simplifying x = 10
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