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Simplifying -4(2x + 8) = 4x + 14 Reorder the terms: -4(8 + 2x) = 4x + 14 (8 * -4 + 2x * -4) = 4x + 14 (-32 + -8x) = 4x + 14 Reorder the terms: -32 + -8x = 14 + 4x Solving -32 + -8x = 14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -32 + -8x + -4x = 14 + 4x + -4x Combine like terms: -8x + -4x = -12x -32 + -12x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 -32 + -12x = 14 + 0 -32 + -12x = 14 Add '32' to each side of the equation. -32 + 32 + -12x = 14 + 32 Combine like terms: -32 + 32 = 0 0 + -12x = 14 + 32 -12x = 14 + 32 Combine like terms: 14 + 32 = 46 -12x = 46 Divide each side by '-12'. x = -3.833333333 Simplifying x = -3.833333333
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