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Simplifying 2[x + -4(2x + 1)] = 6x Reorder the terms: 2[x + -4(1 + 2x)] = 6x 2[x + (1 * -4 + 2x * -4)] = 6x 2[x + (-4 + -8x)] = 6x Reorder the terms: 2[-4 + x + -8x] = 6x Combine like terms: x + -8x = -7x 2[-4 + -7x] = 6x [-4 * 2 + -7x * 2] = 6x [-8 + -14x] = 6x Solving -8 + -14x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + -14x + -6x = 6x + -6x Combine like terms: -14x + -6x = -20x -8 + -20x = 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -20x = 0 Add '8' to each side of the equation. -8 + 8 + -20x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -20x = 0 + 8 -20x = 0 + 8 Combine like terms: 0 + 8 = 8 -20x = 8 Divide each side by '-20'. x = -0.4 Simplifying x = -0.4
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