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Simplifying 3[3 + -1(-4x + -4)] = 24x + 33 Reorder the terms: 3[3 + -1(-4 + -4x)] = 24x + 33 3[3 + (-4 * -1 + -4x * -1)] = 24x + 33 3[3 + (4 + 4x)] = 24x + 33 Combine like terms: 3 + 4 = 7 3[7 + 4x] = 24x + 33 [7 * 3 + 4x * 3] = 24x + 33 [21 + 12x] = 24x + 33 Reorder the terms: 21 + 12x = 33 + 24x Solving 21 + 12x = 33 + 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. 21 + 12x + -24x = 33 + 24x + -24x Combine like terms: 12x + -24x = -12x 21 + -12x = 33 + 24x + -24x Combine like terms: 24x + -24x = 0 21 + -12x = 33 + 0 21 + -12x = 33 Add '-21' to each side of the equation. 21 + -21 + -12x = 33 + -21 Combine like terms: 21 + -21 = 0 0 + -12x = 33 + -21 -12x = 33 + -21 Combine like terms: 33 + -21 = 12 -12x = 12 Divide each side by '-12'. x = -1 Simplifying x = -1
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