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Simplifying 12(x + -3) = 4x + -52 Reorder the terms: 12(-3 + x) = 4x + -52 (-3 * 12 + x * 12) = 4x + -52 (-36 + 12x) = 4x + -52 Reorder the terms: -36 + 12x = -52 + 4x Solving -36 + 12x = -52 + 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. -36 + 12x + -4x = -52 + 4x + -4x Combine like terms: 12x + -4x = 8x -36 + 8x = -52 + 4x + -4x Combine like terms: 4x + -4x = 0 -36 + 8x = -52 + 0 -36 + 8x = -52 Add '36' to each side of the equation. -36 + 36 + 8x = -52 + 36 Combine like terms: -36 + 36 = 0 0 + 8x = -52 + 36 8x = -52 + 36 Combine like terms: -52 + 36 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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