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Simplifying -2[3(x + -2) + 4] = 4(5 + -1x) + 2 Reorder the terms: -2[3(-2 + x) + 4] = 4(5 + -1x) + 2 -2[(-2 * 3 + x * 3) + 4] = 4(5 + -1x) + 2 -2[(-6 + 3x) + 4] = 4(5 + -1x) + 2 Reorder the terms: -2[-6 + 4 + 3x] = 4(5 + -1x) + 2 Combine like terms: -6 + 4 = -2 -2[-2 + 3x] = 4(5 + -1x) + 2 [-2 * -2 + 3x * -2] = 4(5 + -1x) + 2 [4 + -6x] = 4(5 + -1x) + 2 4 + -6x = (5 * 4 + -1x * 4) + 2 4 + -6x = (20 + -4x) + 2 Reorder the terms: 4 + -6x = 20 + 2 + -4x Combine like terms: 20 + 2 = 22 4 + -6x = 22 + -4x Solving 4 + -6x = 22 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 4 + -6x + 4x = 22 + -4x + 4x Combine like terms: -6x + 4x = -2x 4 + -2x = 22 + -4x + 4x Combine like terms: -4x + 4x = 0 4 + -2x = 22 + 0 4 + -2x = 22 Add '-4' to each side of the equation. 4 + -4 + -2x = 22 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = 22 + -4 -2x = 22 + -4 Combine like terms: 22 + -4 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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