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Simplifying 2[x + -4(2x + 1)] = 6 Reorder the terms: 2[x + -4(1 + 2x)] = 6 2[x + (1 * -4 + 2x * -4)] = 6 2[x + (-4 + -8x)] = 6 Reorder the terms: 2[-4 + x + -8x] = 6 Combine like terms: x + -8x = -7x 2[-4 + -7x] = 6 [-4 * 2 + -7x * 2] = 6 [-8 + -14x] = 6 Solving -8 + -14x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -14x = 6 + 8 Combine like terms: -8 + 8 = 0 0 + -14x = 6 + 8 -14x = 6 + 8 Combine like terms: 6 + 8 = 14 -14x = 14 Divide each side by '-14'. x = -1 Simplifying x = -1
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