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Simplifying 2 + -3[3x + 1] = 2[7 + -6x] Reorder the terms: 2 + -3[1 + 3x] = 2[7 + -6x] 2 + [1 * -3 + 3x * -3] = 2[7 + -6x] 2 + [-3 + -9x] = 2[7 + -6x] Combine like terms: 2 + -3 = -1 -1 + -9x = 2[7 + -6x] -1 + -9x = [7 * 2 + -6x * 2] -1 + -9x = [14 + -12x] Solving -1 + -9x = 14 + -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. -1 + -9x + 12x = 14 + -12x + 12x Combine like terms: -9x + 12x = 3x -1 + 3x = 14 + -12x + 12x Combine like terms: -12x + 12x = 0 -1 + 3x = 14 + 0 -1 + 3x = 14 Add '1' to each side of the equation. -1 + 1 + 3x = 14 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 14 + 1 3x = 14 + 1 Combine like terms: 14 + 1 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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