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Simplifying 3 + -4[3x + 1] = 3(6 + -3x) + -6 Reorder the terms: 3 + -4[1 + 3x] = 3(6 + -3x) + -6 3 + [1 * -4 + 3x * -4] = 3(6 + -3x) + -6 3 + [-4 + -12x] = 3(6 + -3x) + -6 Combine like terms: 3 + -4 = -1 -1 + -12x = 3(6 + -3x) + -6 -1 + -12x = (6 * 3 + -3x * 3) + -6 -1 + -12x = (18 + -9x) + -6 Reorder the terms: -1 + -12x = 18 + -6 + -9x Combine like terms: 18 + -6 = 12 -1 + -12x = 12 + -9x Solving -1 + -12x = 12 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -1 + -12x + 9x = 12 + -9x + 9x Combine like terms: -12x + 9x = -3x -1 + -3x = 12 + -9x + 9x Combine like terms: -9x + 9x = 0 -1 + -3x = 12 + 0 -1 + -3x = 12 Add '1' to each side of the equation. -1 + 1 + -3x = 12 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 12 + 1 -3x = 12 + 1 Combine like terms: 12 + 1 = 13 -3x = 13 Divide each side by '-3'. x = -4.333333333 Simplifying x = -4.333333333
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