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Simplifying 0.7(x + 40) + 0.1x = 44 Reorder the terms: 0.7(40 + x) + 0.1x = 44 (40 * 0.7 + x * 0.7) + 0.1x = 44 (28 + 0.7x) + 0.1x = 44 Combine like terms: 0.7x + 0.1x = 0.8x 28 + 0.8x = 44 Solving 28 + 0.8x = 44 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 0.8x = 44 + -28 Combine like terms: 28 + -28 = 0 0 + 0.8x = 44 + -28 0.8x = 44 + -28 Combine like terms: 44 + -28 = 16 0.8x = 16 Divide each side by '0.8'. x = 20 Simplifying x = 20
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