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Simplifying 3[3x + -1] = 4[3 + 3x] Reorder the terms: 3[-1 + 3x] = 4[3 + 3x] [-1 * 3 + 3x * 3] = 4[3 + 3x] [-3 + 9x] = 4[3 + 3x] -3 + 9x = [3 * 4 + 3x * 4] -3 + 9x = [12 + 12x] Solving -3 + 9x = 12 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -3 + 9x + -12x = 12 + 12x + -12x Combine like terms: 9x + -12x = -3x -3 + -3x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 -3 + -3x = 12 + 0 -3 + -3x = 12 Add '3' to each side of the equation. -3 + 3 + -3x = 12 + 3 Combine like terms: -3 + 3 = 0 0 + -3x = 12 + 3 -3x = 12 + 3 Combine like terms: 12 + 3 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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