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Simplifying 3[7 + -1(-7x + -2)] = 42x + 33 Reorder the terms: 3[7 + -1(-2 + -7x)] = 42x + 33 3[7 + (-2 * -1 + -7x * -1)] = 42x + 33 3[7 + (2 + 7x)] = 42x + 33 Combine like terms: 7 + 2 = 9 3[9 + 7x] = 42x + 33 [9 * 3 + 7x * 3] = 42x + 33 [27 + 21x] = 42x + 33 Reorder the terms: 27 + 21x = 33 + 42x Solving 27 + 21x = 33 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 27 + 21x + -42x = 33 + 42x + -42x Combine like terms: 21x + -42x = -21x 27 + -21x = 33 + 42x + -42x Combine like terms: 42x + -42x = 0 27 + -21x = 33 + 0 27 + -21x = 33 Add '-27' to each side of the equation. 27 + -27 + -21x = 33 + -27 Combine like terms: 27 + -27 = 0 0 + -21x = 33 + -27 -21x = 33 + -27 Combine like terms: 33 + -27 = 6 -21x = 6 Divide each side by '-21'. x = -0.2857142857 Simplifying x = -0.2857142857
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