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Simplifying 0.70(x + 100) + 0.10x = 86 Reorder the terms: 0.70(100 + x) + 0.10x = 86 (100 * 0.70 + x * 0.70) + 0.10x = 86 (70 + 0.70x) + 0.10x = 86 Combine like terms: 0.70x + 0.10x = 0.8x 70 + 0.8x = 86 Solving 70 + 0.8x = 86 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + -70 + 0.8x = 86 + -70 Combine like terms: 70 + -70 = 0 0 + 0.8x = 86 + -70 0.8x = 86 + -70 Combine like terms: 86 + -70 = 16 0.8x = 16 Divide each side by '0.8'. x = 20 Simplifying x = 20
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