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Simplifying 4(3x + 4) = 4x + -32 Reorder the terms: 4(4 + 3x) = 4x + -32 (4 * 4 + 3x * 4) = 4x + -32 (16 + 12x) = 4x + -32 Reorder the terms: 16 + 12x = -32 + 4x Solving 16 + 12x = -32 + 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. 16 + 12x + -4x = -32 + 4x + -4x Combine like terms: 12x + -4x = 8x 16 + 8x = -32 + 4x + -4x Combine like terms: 4x + -4x = 0 16 + 8x = -32 + 0 16 + 8x = -32 Add '-16' to each side of the equation. 16 + -16 + 8x = -32 + -16 Combine like terms: 16 + -16 = 0 0 + 8x = -32 + -16 8x = -32 + -16 Combine like terms: -32 + -16 = -48 8x = -48 Divide each side by '8'. x = -6 Simplifying x = -6
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