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