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Simplifying -7x + -2[2(3x + 1) + 4] = 3x Reorder the terms: -7x + -2[2(1 + 3x) + 4] = 3x -7x + -2[(1 * 2 + 3x * 2) + 4] = 3x -7x + -2[(2 + 6x) + 4] = 3x Reorder the terms: -7x + -2[2 + 4 + 6x] = 3x Combine like terms: 2 + 4 = 6 -7x + -2[6 + 6x] = 3x -7x + [6 * -2 + 6x * -2] = 3x -7x + [-12 + -12x] = 3x Reorder the terms: -12 + -7x + -12x = 3x Combine like terms: -7x + -12x = -19x -12 + -19x = 3x Solving -12 + -19x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -12 + -19x + -3x = 3x + -3x Combine like terms: -19x + -3x = -22x -12 + -22x = 3x + -3x Combine like terms: 3x + -3x = 0 -12 + -22x = 0 Add '12' to each side of the equation. -12 + 12 + -22x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -22x = 0 + 12 -22x = 0 + 12 Combine like terms: 0 + 12 = 12 -22x = 12 Divide each side by '-22'. x = -0.5454545455 Simplifying x = -0.5454545455
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