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Simplifying 3(2x + 4) = 2(X + -2) + 4x Reorder the terms: 3(4 + 2x) = 2(X + -2) + 4x (4 * 3 + 2x * 3) = 2(X + -2) + 4x (12 + 6x) = 2(X + -2) + 4x Reorder the terms: 12 + 6x = 2(-2 + X) + 4x 12 + 6x = (-2 * 2 + X * 2) + 4x 12 + 6x = (-4 + 2X) + 4x Solving 12 + 6x = -4 + 2X + 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. 12 + 6x + -4x = -4 + 2X + 4x + -4x Combine like terms: 6x + -4x = 2x 12 + 2x = -4 + 2X + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 2x = -4 + 2X + 0 12 + 2x = -4 + 2X Add '-12' to each side of the equation. 12 + -12 + 2x = -4 + -12 + 2X Combine like terms: 12 + -12 = 0 0 + 2x = -4 + -12 + 2X 2x = -4 + -12 + 2X Combine like terms: -4 + -12 = -16 2x = -16 + 2X Divide each side by '2'. x = -8 + X Simplifying x = -8 + X
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