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Simplifying (x + 12) * 1.06 = x * 1.08 Reorder the terms: (12 + x) * 1.06 = x * 1.08 Reorder the terms for easier multiplication: 1.06(12 + x) = x * 1.08 (12 * 1.06 + x * 1.06) = x * 1.08 (12.72 + 1.06x) = x * 1.08 Reorder the terms for easier multiplication: 12.72 + 1.06x = 1.08x Solving 12.72 + 1.06x = 1.08x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.08x' to each side of the equation. 12.72 + 1.06x + -1.08x = 1.08x + -1.08x Combine like terms: 1.06x + -1.08x = -0.02x 12.72 + -0.02x = 1.08x + -1.08x Combine like terms: 1.08x + -1.08x = 0.00 12.72 + -0.02x = 0.00 Add '-12.72' to each side of the equation. 12.72 + -12.72 + -0.02x = 0.00 + -12.72 Combine like terms: 12.72 + -12.72 = 0.00 0.00 + -0.02x = 0.00 + -12.72 -0.02x = 0.00 + -12.72 Combine like terms: 0.00 + -12.72 = -12.72 -0.02x = -12.72 Divide each side by '-0.02'. x = 636 Simplifying x = 636
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