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Simplifying 4 + -1(1 + -2a) * x = 0 Reorder the terms for easier multiplication: 4 + -1x(1 + -2a) = 0 4 + (1 * -1x + -2a * -1x) = 0 Reorder the terms: 4 + (2ax + -1x) = 0 4 + (2ax + -1x) = 0 Solving 4 + 2ax + -1x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 2ax + -4 + -1x = 0 + -4 Reorder the terms: 4 + -4 + 2ax + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2ax + -1x = 0 + -4 2ax + -1x = 0 + -4 Combine like terms: 0 + -4 = -4 2ax + -1x = -4 Add 'x' to each side of the equation. 2ax + -1x + x = -4 + x Combine like terms: -1x + x = 0 2ax + 0 = -4 + x 2ax = -4 + x Divide each side by '2x'. a = -2x-1 + 0.5 Simplifying a = -2x-1 + 0.5 Reorder the terms: a = 0.5 + -2x-1
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