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Simplifying 18 = x(0.9563) + 1.25(x + 1) Reorder the terms for easier multiplication: 18 = 0.9563x + 1.25(x + 1) Reorder the terms: 18 = 0.9563x + 1.25(1 + x) 18 = 0.9563x + (1 * 1.25 + x * 1.25) 18 = 0.9563x + (1.25 + 1.25x) Reorder the terms: 18 = 1.25 + 0.9563x + 1.25x Combine like terms: 0.9563x + 1.25x = 2.2063x 18 = 1.25 + 2.2063x Solving 18 = 1.25 + 2.2063x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.2063x' to each side of the equation. 18 + -2.2063x = 1.25 + 2.2063x + -2.2063x Combine like terms: 2.2063x + -2.2063x = 0.0000 18 + -2.2063x = 1.25 + 0.0000 18 + -2.2063x = 1.25 Add '-18' to each side of the equation. 18 + -18 + -2.2063x = 1.25 + -18 Combine like terms: 18 + -18 = 0 0 + -2.2063x = 1.25 + -18 -2.2063x = 1.25 + -18 Combine like terms: 1.25 + -18 = -16.75 -2.2063x = -16.75 Divide each side by '-2.2063'. x = 7.591895934 Simplifying x = 7.591895934
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