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Simplifying 4[x + 2] = 14 + -2[3 + -4x] Reorder the terms: 4[2 + x] = 14 + -2[3 + -4x] [2 * 4 + x * 4] = 14 + -2[3 + -4x] [8 + 4x] = 14 + -2[3 + -4x] 8 + 4x = 14 + [3 * -2 + -4x * -2] 8 + 4x = 14 + [-6 + 8x] Combine like terms: 14 + -6 = 8 8 + 4x = 8 + 8x Add '-8' to each side of the equation. 8 + -8 + 4x = 8 + -8 + 8x Combine like terms: 8 + -8 = 0 0 + 4x = 8 + -8 + 8x 4x = 8 + -8 + 8x Combine like terms: 8 + -8 = 0 4x = 0 + 8x 4x = 8x Solving 4x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4x + -8x = 8x + -8x Combine like terms: 4x + -8x = -4x -4x = 8x + -8x Combine like terms: 8x + -8x = 0 -4x = 0 Divide each side by '-4'. x = 0 Simplifying x = 0
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