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Simplifying 3(x + 4) = 6(X + -8) + 12 Reorder the terms: 3(4 + x) = 6(X + -8) + 12 (4 * 3 + x * 3) = 6(X + -8) + 12 (12 + 3x) = 6(X + -8) + 12 Reorder the terms: 12 + 3x = 6(-8 + X) + 12 12 + 3x = (-8 * 6 + X * 6) + 12 12 + 3x = (-48 + 6X) + 12 Reorder the terms: 12 + 3x = -48 + 12 + 6X Combine like terms: -48 + 12 = -36 12 + 3x = -36 + 6X Solving 12 + 3x = -36 + 6X Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 3x = -36 + -12 + 6X Combine like terms: 12 + -12 = 0 0 + 3x = -36 + -12 + 6X 3x = -36 + -12 + 6X Combine like terms: -36 + -12 = -48 3x = -48 + 6X Divide each side by '3'. x = -16 + 2X Simplifying x = -16 + 2X
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