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Simplifying 2[3 + -4(5 + -1x)] = 2(3x + -11) 2[3 + (5 * -4 + -1x * -4)] = 2(3x + -11) 2[3 + (-20 + 4x)] = 2(3x + -11) Combine like terms: 3 + -20 = -17 2[-17 + 4x] = 2(3x + -11) [-17 * 2 + 4x * 2] = 2(3x + -11) [-34 + 8x] = 2(3x + -11) Reorder the terms: -34 + 8x = 2(-11 + 3x) -34 + 8x = (-11 * 2 + 3x * 2) -34 + 8x = (-22 + 6x) Solving -34 + 8x = -22 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -34 + 8x + -6x = -22 + 6x + -6x Combine like terms: 8x + -6x = 2x -34 + 2x = -22 + 6x + -6x Combine like terms: 6x + -6x = 0 -34 + 2x = -22 + 0 -34 + 2x = -22 Add '34' to each side of the equation. -34 + 34 + 2x = -22 + 34 Combine like terms: -34 + 34 = 0 0 + 2x = -22 + 34 2x = -22 + 34 Combine like terms: -22 + 34 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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