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Simplifying 0.8(x + 10) + 0.4x = 44 Reorder the terms: 0.8(10 + x) + 0.4x = 44 (10 * 0.8 + x * 0.8) + 0.4x = 44 (8 + 0.8x) + 0.4x = 44 Combine like terms: 0.8x + 0.4x = 1.2x 8 + 1.2x = 44 Solving 8 + 1.2x = 44 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 1.2x = 44 + -8 Combine like terms: 8 + -8 = 0 0 + 1.2x = 44 + -8 1.2x = 44 + -8 Combine like terms: 44 + -8 = 36 1.2x = 36 Divide each side by '1.2'. x = 30 Simplifying x = 30
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