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Simplifying 3x + -9 = -101 + 2[2x + -1(5 + -4x) + 7] + 4 + 12x Reorder the terms: -9 + 3x = -101 + 2[2x + -1(5 + -4x) + 7] + 4 + 12x -9 + 3x = -101 + 2[2x + (5 * -1 + -4x * -1) + 7] + 4 + 12x -9 + 3x = -101 + 2[2x + (-5 + 4x) + 7] + 4 + 12x Reorder the terms: -9 + 3x = -101 + 2[-5 + 7 + 2x + 4x] + 4 + 12x Combine like terms: -5 + 7 = 2 -9 + 3x = -101 + 2[2 + 2x + 4x] + 4 + 12x Combine like terms: 2x + 4x = 6x -9 + 3x = -101 + 2[2 + 6x] + 4 + 12x -9 + 3x = -101 + [2 * 2 + 6x * 2] + 4 + 12x -9 + 3x = -101 + [4 + 12x] + 4 + 12x Reorder the terms: -9 + 3x = -101 + 4 + 4 + 12x + 12x Combine like terms: -101 + 4 = -97 -9 + 3x = -97 + 4 + 12x + 12x Combine like terms: -97 + 4 = -93 -9 + 3x = -93 + 12x + 12x Combine like terms: 12x + 12x = 24x -9 + 3x = -93 + 24x Solving -9 + 3x = -93 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -9 + 3x + -24x = -93 + 24x + -24x Combine like terms: 3x + -24x = -21x -9 + -21x = -93 + 24x + -24x Combine like terms: 24x + -24x = 0 -9 + -21x = -93 + 0 -9 + -21x = -93 Add '9' to each side of the equation. -9 + 9 + -21x = -93 + 9 Combine like terms: -9 + 9 = 0 0 + -21x = -93 + 9 -21x = -93 + 9 Combine like terms: -93 + 9 = -84 -21x = -84 Divide each side by '-21'. x = 4 Simplifying x = 4
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