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Simplifying (1 + 0.06375) = (1 + 0.0225)(1 + x) Combine like terms: 1 + 0.06375 = 1.06375 (1.06375) = (1 + 0.0225)(1 + x) 1.06375 = (1 + 0.0225)(1 + x) Combine like terms: 1 + 0.0225 = 1.0225 1.06375 = (1.0225)(1 + x) 1.06375 = (1 * 1.0225 + x * 1.0225) 1.06375 = (1.0225 + 1.0225x) Solving 1.06375 = 1.0225 + 1.0225x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.0225x' to each side of the equation. 1.06375 + -1.0225x = 1.0225 + 1.0225x + -1.0225x Combine like terms: 1.0225x + -1.0225x = 0.0000 1.06375 + -1.0225x = 1.0225 + 0.0000 1.06375 + -1.0225x = 1.0225 Add '-1.06375' to each side of the equation. 1.06375 + -1.06375 + -1.0225x = 1.0225 + -1.06375 Combine like terms: 1.06375 + -1.06375 = 0.00000 0.00000 + -1.0225x = 1.0225 + -1.06375 -1.0225x = 1.0225 + -1.06375 Combine like terms: 1.0225 + -1.06375 = -0.04125 -1.0225x = -0.04125 Divide each side by '-1.0225'. x = 0.04034229829 Simplifying x = 0.04034229829
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