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Simplifying 2[2X + -2 + 2X] = 3(2X + -4) + 32 Reorder the terms: 2[-2 + 2X + 2X] = 3(2X + -4) + 32 Combine like terms: 2X + 2X = 4X 2[-2 + 4X] = 3(2X + -4) + 32 [-2 * 2 + 4X * 2] = 3(2X + -4) + 32 [-4 + 8X] = 3(2X + -4) + 32 Reorder the terms: -4 + 8X = 3(-4 + 2X) + 32 -4 + 8X = (-4 * 3 + 2X * 3) + 32 -4 + 8X = (-12 + 6X) + 32 Reorder the terms: -4 + 8X = -12 + 32 + 6X Combine like terms: -12 + 32 = 20 -4 + 8X = 20 + 6X Solving -4 + 8X = 20 + 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 + 8X + -6X = 20 + 6X + -6X Combine like terms: 8X + -6X = 2X -4 + 2X = 20 + 6X + -6X Combine like terms: 6X + -6X = 0 -4 + 2X = 20 + 0 -4 + 2X = 20 Add '4' to each side of the equation. -4 + 4 + 2X = 20 + 4 Combine like terms: -4 + 4 = 0 0 + 2X = 20 + 4 2X = 20 + 4 Combine like terms: 20 + 4 = 24 2X = 24 Divide each side by '2'. X = 12 Simplifying X = 12
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