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Simplifying 2x(5a + 1) = 2x(a + 1) Reorder the terms: 2x(1 + 5a) = 2x(a + 1) (1 * 2x + 5a * 2x) = 2x(a + 1) Reorder the terms: (10ax + 2x) = 2x(a + 1) (10ax + 2x) = 2x(a + 1) Reorder the terms: 10ax + 2x = 2x(1 + a) 10ax + 2x = (1 * 2x + a * 2x) Reorder the terms: 10ax + 2x = (2ax + 2x) 10ax + 2x = (2ax + 2x) Add '-2x' to each side of the equation. 10ax + 2x + -2x = 2ax + 2x + -2x Combine like terms: 2x + -2x = 0 10ax + 0 = 2ax + 2x + -2x 10ax = 2ax + 2x + -2x Combine like terms: 2x + -2x = 0 10ax = 2ax + 0 10ax = 2ax Solving 10ax = 2ax Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2ax' to each side of the equation. 10ax + -2ax = 2ax + -2ax Combine like terms: 10ax + -2ax = 8ax 8ax = 2ax + -2ax Combine like terms: 2ax + -2ax = 0 8ax = 0 Divide each side by '8'. ax = 0 Simplifying ax = 0 The solution to this equation could not be determined.
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