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Simplifying 9[3 + x] = 4[3 + x] [3 * 9 + x * 9] = 4[3 + x] [27 + 9x] = 4[3 + x] 27 + 9x = [3 * 4 + x * 4] 27 + 9x = [12 + 4x] Solving 27 + 9x = 12 + 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. 27 + 9x + -4x = 12 + 4x + -4x Combine like terms: 9x + -4x = 5x 27 + 5x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 27 + 5x = 12 + 0 27 + 5x = 12 Add '-27' to each side of the equation. 27 + -27 + 5x = 12 + -27 Combine like terms: 27 + -27 = 0 0 + 5x = 12 + -27 5x = 12 + -27 Combine like terms: 12 + -27 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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