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Simplifying 0.06(12.25 + x) + 12.25 + x = 19.08 (12.25 * 0.06 + x * 0.06) + 12.25 + x = 19.08 (0.735 + 0.06x) + 12.25 + x = 19.08 Reorder the terms: 0.735 + 12.25 + 0.06x + x = 19.08 Combine like terms: 0.735 + 12.25 = 12.985 12.985 + 0.06x + x = 19.08 Combine like terms: 0.06x + x = 1.06x 12.985 + 1.06x = 19.08 Solving 12.985 + 1.06x = 19.08 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12.985' to each side of the equation. 12.985 + -12.985 + 1.06x = 19.08 + -12.985 Combine like terms: 12.985 + -12.985 = 0.000 0.000 + 1.06x = 19.08 + -12.985 1.06x = 19.08 + -12.985 Combine like terms: 19.08 + -12.985 = 6.095 1.06x = 6.095 Divide each side by '1.06'. x = 5.75 Simplifying x = 5.75
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