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Simplifying -2[4 + -1(3x + 2)] = 5 + -2(3x + 6) Reorder the terms: -2[4 + -1(2 + 3x)] = 5 + -2(3x + 6) -2[4 + (2 * -1 + 3x * -1)] = 5 + -2(3x + 6) -2[4 + (-2 + -3x)] = 5 + -2(3x + 6) Combine like terms: 4 + -2 = 2 -2[2 + -3x] = 5 + -2(3x + 6) [2 * -2 + -3x * -2] = 5 + -2(3x + 6) [-4 + 6x] = 5 + -2(3x + 6) Reorder the terms: -4 + 6x = 5 + -2(6 + 3x) -4 + 6x = 5 + (6 * -2 + 3x * -2) -4 + 6x = 5 + (-12 + -6x) Combine like terms: 5 + -12 = -7 -4 + 6x = -7 + -6x Solving -4 + 6x = -7 + -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. -4 + 6x + 6x = -7 + -6x + 6x Combine like terms: 6x + 6x = 12x -4 + 12x = -7 + -6x + 6x Combine like terms: -6x + 6x = 0 -4 + 12x = -7 + 0 -4 + 12x = -7 Add '4' to each side of the equation. -4 + 4 + 12x = -7 + 4 Combine like terms: -4 + 4 = 0 0 + 12x = -7 + 4 12x = -7 + 4 Combine like terms: -7 + 4 = -3 12x = -3 Divide each side by '12'. x = -0.25 Simplifying x = -0.25
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