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Simplifying 18(1.01 + -2.30x) = 4.93x + 6.22 (1.01 * 18 + -2.30x * 18) = 4.93x + 6.22 (18.18 + -41.4x) = 4.93x + 6.22 Reorder the terms: 18.18 + -41.4x = 6.22 + 4.93x Solving 18.18 + -41.4x = 6.22 + 4.93x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.93x' to each side of the equation. 18.18 + -41.4x + -4.93x = 6.22 + 4.93x + -4.93x Combine like terms: -41.4x + -4.93x = -46.33x 18.18 + -46.33x = 6.22 + 4.93x + -4.93x Combine like terms: 4.93x + -4.93x = 0.00 18.18 + -46.33x = 6.22 + 0.00 18.18 + -46.33x = 6.22 Add '-18.18' to each side of the equation. 18.18 + -18.18 + -46.33x = 6.22 + -18.18 Combine like terms: 18.18 + -18.18 = 0.00 0.00 + -46.33x = 6.22 + -18.18 -46.33x = 6.22 + -18.18 Combine like terms: 6.22 + -18.18 = -11.96 -46.33x = -11.96 Divide each side by '-46.33'. x = 0.2581480682 Simplifying x = 0.2581480682
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