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Simplifying 0.1(x + 70) + 0.5x = 16 Reorder the terms: 0.1(70 + x) + 0.5x = 16 (70 * 0.1 + x * 0.1) + 0.5x = 16 (7 + 0.1x) + 0.5x = 16 Combine like terms: 0.1x + 0.5x = 0.6x 7 + 0.6x = 16 Solving 7 + 0.6x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 0.6x = 16 + -7 Combine like terms: 7 + -7 = 0 0 + 0.6x = 16 + -7 0.6x = 16 + -7 Combine like terms: 16 + -7 = 9 0.6x = 9 Divide each side by '0.6'. x = 15 Simplifying x = 15
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