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Simplifying 2(4x + -6) = 12 + 12x Reorder the terms: 2(-6 + 4x) = 12 + 12x (-6 * 2 + 4x * 2) = 12 + 12x (-12 + 8x) = 12 + 12x Solving -12 + 8x = 12 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -12 + 8x + -12x = 12 + 12x + -12x Combine like terms: 8x + -12x = -4x -12 + -4x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 + -4x = 12 + 0 -12 + -4x = 12 Add '12' to each side of the equation. -12 + 12 + -4x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -4x = 12 + 12 -4x = 12 + 12 Combine like terms: 12 + 12 = 24 -4x = 24 Divide each side by '-4'. x = -6 Simplifying x = -6
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