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Simplifying 2 = a(10 + 0) * x(10 + 100) Combine like terms: 10 + 0 = 10 2 = a(10) * x(10 + 100) Combine like terms: 10 + 100 = 110 2 = a * 10x(110) Reorder the terms for easier multiplication: 2 = 10 * 110a * x Multiply 10 * 110 2 = 1100a * x Multiply a * x 2 = 1100ax Solving 2 = 1100ax Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1100ax' to each side of the equation. 2 + -1100ax = 1100ax + -1100ax Combine like terms: 1100ax + -1100ax = 0 2 + -1100ax = 0 Add '-2' to each side of the equation. 2 + -2 + -1100ax = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1100ax = 0 + -2 -1100ax = 0 + -2 Combine like terms: 0 + -2 = -2 -1100ax = -2 Divide each side by '-1100x'. a = 0.001818181818x-1 Simplifying a = 0.001818181818x-1
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