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Simplifying 6[33x + 12 + -1(1 + -17x)] = 325x + 2(2x + -4x) 6[33x + 12 + (1 * -1 + -17x * -1)] = 325x + 2(2x + -4x) 6[33x + 12 + (-1 + 17x)] = 325x + 2(2x + -4x) Reorder the terms: 6[12 + -1 + 33x + 17x] = 325x + 2(2x + -4x) Combine like terms: 12 + -1 = 11 6[11 + 33x + 17x] = 325x + 2(2x + -4x) Combine like terms: 33x + 17x = 50x 6[11 + 50x] = 325x + 2(2x + -4x) [11 * 6 + 50x * 6] = 325x + 2(2x + -4x) [66 + 300x] = 325x + 2(2x + -4x) Combine like terms: 2x + -4x = -2x 66 + 300x = 325x + 2(-2x) Remove parenthesis around (-2x) 66 + 300x = 325x + 2 * -2x Multiply 2 * -2 66 + 300x = 325x + -4x Combine like terms: 325x + -4x = 321x 66 + 300x = 321x Solving 66 + 300x = 321x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-321x' to each side of the equation. 66 + 300x + -321x = 321x + -321x Combine like terms: 300x + -321x = -21x 66 + -21x = 321x + -321x Combine like terms: 321x + -321x = 0 66 + -21x = 0 Add '-66' to each side of the equation. 66 + -66 + -21x = 0 + -66 Combine like terms: 66 + -66 = 0 0 + -21x = 0 + -66 -21x = 0 + -66 Combine like terms: 0 + -66 = -66 -21x = -66 Divide each side by '-21'. x = 3.142857143 Simplifying x = 3.142857143
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