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Simplifying 18 + 0.08x = 20 + 0.06(1000 + -1x) 18 + 0.08x = 20 + (1000 * 0.06 + -1x * 0.06) 18 + 0.08x = 20 + (60 + -0.06x) Combine like terms: 20 + 60 = 80 18 + 0.08x = 80 + -0.06x Solving 18 + 0.08x = 80 + -0.06x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.06x' to each side of the equation. 18 + 0.08x + 0.06x = 80 + -0.06x + 0.06x Combine like terms: 0.08x + 0.06x = 0.14x 18 + 0.14x = 80 + -0.06x + 0.06x Combine like terms: -0.06x + 0.06x = 0.00 18 + 0.14x = 80 + 0.00 18 + 0.14x = 80 Add '-18' to each side of the equation. 18 + -18 + 0.14x = 80 + -18 Combine like terms: 18 + -18 = 0 0 + 0.14x = 80 + -18 0.14x = 80 + -18 Combine like terms: 80 + -18 = 62 0.14x = 62 Divide each side by '0.14'. x = 442.8571429 Simplifying x = 442.8571429
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