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Simplifying 0.4(x + 10) + 0.8x = 40 Reorder the terms: 0.4(10 + x) + 0.8x = 40 (10 * 0.4 + x * 0.4) + 0.8x = 40 (4 + 0.4x) + 0.8x = 40 Combine like terms: 0.4x + 0.8x = 1.2x 4 + 1.2x = 40 Solving 4 + 1.2x = 40 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 + 1.2x = 40 + -4 Combine like terms: 4 + -4 = 0 0 + 1.2x = 40 + -4 1.2x = 40 + -4 Combine like terms: 40 + -4 = 36 1.2x = 36 Divide each side by '1.2'. x = 30 Simplifying x = 30
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