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Simplifying 3[7x + -2 + 4(x + 1)] = -3(3x + -3) Reorder the terms: 3[7x + -2 + 4(1 + x)] = -3(3x + -3) 3[7x + -2 + (1 * 4 + x * 4)] = -3(3x + -3) 3[7x + -2 + (4 + 4x)] = -3(3x + -3) Reorder the terms: 3[-2 + 4 + 7x + 4x] = -3(3x + -3) Combine like terms: -2 + 4 = 2 3[2 + 7x + 4x] = -3(3x + -3) Combine like terms: 7x + 4x = 11x 3[2 + 11x] = -3(3x + -3) [2 * 3 + 11x * 3] = -3(3x + -3) [6 + 33x] = -3(3x + -3) Reorder the terms: 6 + 33x = -3(-3 + 3x) 6 + 33x = (-3 * -3 + 3x * -3) 6 + 33x = (9 + -9x) Solving 6 + 33x = 9 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 6 + 33x + 9x = 9 + -9x + 9x Combine like terms: 33x + 9x = 42x 6 + 42x = 9 + -9x + 9x Combine like terms: -9x + 9x = 0 6 + 42x = 9 + 0 6 + 42x = 9 Add '-6' to each side of the equation. 6 + -6 + 42x = 9 + -6 Combine like terms: 6 + -6 = 0 0 + 42x = 9 + -6 42x = 9 + -6 Combine like terms: 9 + -6 = 3 42x = 3 Divide each side by '42'. x = 0.07142857143 Simplifying x = 0.07142857143
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