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Simplifying 4x(a + 2) = 2x(a + 6) Reorder the terms: 4x(2 + a) = 2x(a + 6) (2 * 4x + a * 4x) = 2x(a + 6) Reorder the terms: (4ax + 8x) = 2x(a + 6) (4ax + 8x) = 2x(a + 6) Reorder the terms: 4ax + 8x = 2x(6 + a) 4ax + 8x = (6 * 2x + a * 2x) Reorder the terms: 4ax + 8x = (2ax + 12x) 4ax + 8x = (2ax + 12x) Solving 4ax + 8x = 2ax + 12x 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. 4ax + -2ax + 8x = 2ax + -2ax + 12x Combine like terms: 4ax + -2ax = 2ax 2ax + 8x = 2ax + -2ax + 12x Combine like terms: 2ax + -2ax = 0 2ax + 8x = 0 + 12x 2ax + 8x = 12x Add '-8x' to each side of the equation. 2ax + 8x + -8x = 12x + -8x Combine like terms: 8x + -8x = 0 2ax + 0 = 12x + -8x 2ax = 12x + -8x Combine like terms: 12x + -8x = 4x 2ax = 4x Divide each side by '2x'. a = 2 Simplifying a = 2
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