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Simplifying 3x + -12 = 2[5 + -3(3x + -1)] Reorder the terms: -12 + 3x = 2[5 + -3(3x + -1)] Reorder the terms: -12 + 3x = 2[5 + -3(-1 + 3x)] -12 + 3x = 2[5 + (-1 * -3 + 3x * -3)] -12 + 3x = 2[5 + (3 + -9x)] Combine like terms: 5 + 3 = 8 -12 + 3x = 2[8 + -9x] -12 + 3x = [8 * 2 + -9x * 2] -12 + 3x = [16 + -18x] Solving -12 + 3x = 16 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -12 + 3x + 18x = 16 + -18x + 18x Combine like terms: 3x + 18x = 21x -12 + 21x = 16 + -18x + 18x Combine like terms: -18x + 18x = 0 -12 + 21x = 16 + 0 -12 + 21x = 16 Add '12' to each side of the equation. -12 + 12 + 21x = 16 + 12 Combine like terms: -12 + 12 = 0 0 + 21x = 16 + 12 21x = 16 + 12 Combine like terms: 16 + 12 = 28 21x = 28 Divide each side by '21'. x = 1.333333333 Simplifying x = 1.333333333
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