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Simplifying -4(x + 9) = -12x + -4 Reorder the terms: -4(9 + x) = -12x + -4 (9 * -4 + x * -4) = -12x + -4 (-36 + -4x) = -12x + -4 Reorder the terms: -36 + -4x = -4 + -12x Solving -36 + -4x = -4 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -36 + -4x + 12x = -4 + -12x + 12x Combine like terms: -4x + 12x = 8x -36 + 8x = -4 + -12x + 12x Combine like terms: -12x + 12x = 0 -36 + 8x = -4 + 0 -36 + 8x = -4 Add '36' to each side of the equation. -36 + 36 + 8x = -4 + 36 Combine like terms: -36 + 36 = 0 0 + 8x = -4 + 36 8x = -4 + 36 Combine like terms: -4 + 36 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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