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Simplifying 0.5(x + 70) + 0.1x = 44 Reorder the terms: 0.5(70 + x) + 0.1x = 44 (70 * 0.5 + x * 0.5) + 0.1x = 44 (35 + 0.5x) + 0.1x = 44 Combine like terms: 0.5x + 0.1x = 0.6x 35 + 0.6x = 44 Solving 35 + 0.6x = 44 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 0.6x = 44 + -35 Combine like terms: 35 + -35 = 0 0 + 0.6x = 44 + -35 0.6x = 44 + -35 Combine like terms: 44 + -35 = 9 0.6x = 9 Divide each side by '0.6'. x = 15 Simplifying x = 15
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