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