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Simplifying 9[x + -4] = 3[x + 12] Reorder the terms: 9[-4 + x] = 3[x + 12] [-4 * 9 + x * 9] = 3[x + 12] [-36 + 9x] = 3[x + 12] Reorder the terms: -36 + 9x = 3[12 + x] -36 + 9x = [12 * 3 + x * 3] -36 + 9x = [36 + 3x] Solving -36 + 9x = 36 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -36 + 9x + -3x = 36 + 3x + -3x Combine like terms: 9x + -3x = 6x -36 + 6x = 36 + 3x + -3x Combine like terms: 3x + -3x = 0 -36 + 6x = 36 + 0 -36 + 6x = 36 Add '36' to each side of the equation. -36 + 36 + 6x = 36 + 36 Combine like terms: -36 + 36 = 0 0 + 6x = 36 + 36 6x = 36 + 36 Combine like terms: 36 + 36 = 72 6x = 72 Divide each side by '6'. x = 12 Simplifying x = 12
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