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Simplifying 4x(2) + ax = 2x(2x + 1) Reorder the terms for easier multiplication: 4 * 2x + ax = 2x(2x + 1) Multiply 4 * 2 8x + ax = 2x(2x + 1) Reorder the terms: ax + 8x = 2x(2x + 1) Reorder the terms: ax + 8x = 2x(1 + 2x) ax + 8x = (1 * 2x + 2x * 2x) ax + 8x = (2x + 4x2) Solving ax + 8x = 2x + 4x2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8x' to each side of the equation. ax + 8x + -8x = 2x + -8x + 4x2 Combine like terms: 8x + -8x = 0 ax + 0 = 2x + -8x + 4x2 ax = 2x + -8x + 4x2 Combine like terms: 2x + -8x = -6x ax = -6x + 4x2 Divide each side by 'x'. a = -6 + 4x Simplifying a = -6 + 4x
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