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Simplifying 0.1(x + 70) + 0.1 = 8 Reorder the terms: 0.1(70 + x) + 0.1 = 8 (70 * 0.1 + x * 0.1) + 0.1 = 8 (7 + 0.1x) + 0.1 = 8 Reorder the terms: 7 + 0.1 + 0.1x = 8 Combine like terms: 7 + 0.1 = 7.1 7.1 + 0.1x = 8 Solving 7.1 + 0.1x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.1' to each side of the equation. 7.1 + -7.1 + 0.1x = 8 + -7.1 Combine like terms: 7.1 + -7.1 = 0.0 0.0 + 0.1x = 8 + -7.1 0.1x = 8 + -7.1 Combine like terms: 8 + -7.1 = 0.9 0.1x = 0.9 Divide each side by '0.1'. x = 9 Simplifying x = 9
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