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Simplifying 12[x + -2] = -4[x + -22] Reorder the terms: 12[-2 + x] = -4[x + -22] [-2 * 12 + x * 12] = -4[x + -22] [-24 + 12x] = -4[x + -22] Reorder the terms: -24 + 12x = -4[-22 + x] -24 + 12x = [-22 * -4 + x * -4] -24 + 12x = [88 + -4x] Solving -24 + 12x = 88 + -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. -24 + 12x + 4x = 88 + -4x + 4x Combine like terms: 12x + 4x = 16x -24 + 16x = 88 + -4x + 4x Combine like terms: -4x + 4x = 0 -24 + 16x = 88 + 0 -24 + 16x = 88 Add '24' to each side of the equation. -24 + 24 + 16x = 88 + 24 Combine like terms: -24 + 24 = 0 0 + 16x = 88 + 24 16x = 88 + 24 Combine like terms: 88 + 24 = 112 16x = 112 Divide each side by '16'. x = 7 Simplifying x = 7
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