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Simplifying 0.08x + 0.06(x + 12) = 7.72 Reorder the terms: 0.08x + 0.06(12 + x) = 7.72 0.08x + (12 * 0.06 + x * 0.06) = 7.72 0.08x + (0.72 + 0.06x) = 7.72 Reorder the terms: 0.72 + 0.08x + 0.06x = 7.72 Combine like terms: 0.08x + 0.06x = 0.14x 0.72 + 0.14x = 7.72 Solving 0.72 + 0.14x = 7.72 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.72' to each side of the equation. 0.72 + -0.72 + 0.14x = 7.72 + -0.72 Combine like terms: 0.72 + -0.72 = 0.00 0.00 + 0.14x = 7.72 + -0.72 0.14x = 7.72 + -0.72 Combine like terms: 7.72 + -0.72 = 7 0.14x = 7 Divide each side by '0.14'. x = 50 Simplifying x = 50
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