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Simplifying 5x + 2[3(x + -4) + 1] = 33 Reorder the terms: 5x + 2[3(-4 + x) + 1] = 33 5x + 2[(-4 * 3 + x * 3) + 1] = 33 5x + 2[(-12 + 3x) + 1] = 33 Reorder the terms: 5x + 2[-12 + 1 + 3x] = 33 Combine like terms: -12 + 1 = -11 5x + 2[-11 + 3x] = 33 5x + [-11 * 2 + 3x * 2] = 33 5x + [-22 + 6x] = 33 Reorder the terms: -22 + 5x + 6x = 33 Combine like terms: 5x + 6x = 11x -22 + 11x = 33 Solving -22 + 11x = 33 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 11x = 33 + 22 Combine like terms: -22 + 22 = 0 0 + 11x = 33 + 22 11x = 33 + 22 Combine like terms: 33 + 22 = 55 11x = 55 Divide each side by '11'. x = 5 Simplifying x = 5
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