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Simplifying -12[x + 3] = 4[x + -21] Reorder the terms: -12[3 + x] = 4[x + -21] [3 * -12 + x * -12] = 4[x + -21] [-36 + -12x] = 4[x + -21] Reorder the terms: -36 + -12x = 4[-21 + x] -36 + -12x = [-21 * 4 + x * 4] -36 + -12x = [-84 + 4x] Solving -36 + -12x = -84 + 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 = -84 + 4x + -4x Combine like terms: -12x + -4x = -16x -36 + -16x = -84 + 4x + -4x Combine like terms: 4x + -4x = 0 -36 + -16x = -84 + 0 -36 + -16x = -84 Add '36' to each side of the equation. -36 + 36 + -16x = -84 + 36 Combine like terms: -36 + 36 = 0 0 + -16x = -84 + 36 -16x = -84 + 36 Combine like terms: -84 + 36 = -48 -16x = -48 Divide each side by '-16'. x = 3 Simplifying x = 3
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