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Simplifying x + (0.12x) + 10000 + x + (10000 + x) * 0.08 = 12000 + x Reorder the terms for easier multiplication: x + (0.12x) + 10000 + x + 0.08(10000 + x) = 12000 + x x + (0.12x) + 10000 + x + (10000 * 0.08 + x * 0.08) = 12000 + x x + (0.12x) + 10000 + x + (800 + 0.08x) = 12000 + x Reorder the terms: 10000 + 800 + x + (0.12x) + x + 0.08x = 12000 + x Combine like terms: 10000 + 800 = 10800 10800 + x + (0.12x) + x + 0.08x = 12000 + x Combine like terms: x + (0.12x) = 1.12x 10800 + 1.12x + x + 0.08x = 12000 + x Combine like terms: 1.12x + x = 2.12x 10800 + 2.12x + 0.08x = 12000 + x Combine like terms: 2.12x + 0.08x = 2.2x 10800 + 2.2x = 12000 + x Solving 10800 + 2.2x = 12000 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 10800 + 2.2x + -1x = 12000 + x + -1x Combine like terms: 2.2x + -1x = 1.2x 10800 + 1.2x = 12000 + x + -1x Combine like terms: x + -1x = 0 10800 + 1.2x = 12000 + 0 10800 + 1.2x = 12000 Add '-10800' to each side of the equation. 10800 + -10800 + 1.2x = 12000 + -10800 Combine like terms: 10800 + -10800 = 0 0 + 1.2x = 12000 + -10800 1.2x = 12000 + -10800 Combine like terms: 12000 + -10800 = 1200 1.2x = 1200 Divide each side by '1.2'. x = 1000 Simplifying x = 1000
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