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Simplifying -4[x + 2(6 + -1x)] = 0 -4[x + (6 * 2 + -1x * 2)] = 0 -4[x + (12 + -2x)] = 0 Reorder the terms: -4[12 + x + -2x] = 0 Combine like terms: x + -2x = -1x -4[12 + -1x] = 0 [12 * -4 + -1x * -4] = 0 [-48 + 4x] = 0 Solving -48 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 4x = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 4x = 0 + 48 4x = 0 + 48 Combine like terms: 0 + 48 = 48 4x = 48 Divide each side by '4'. x = 12 Simplifying x = 12
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