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Simplifying 4(6 + 2x) = 12x + 44 (6 * 4 + 2x * 4) = 12x + 44 (24 + 8x) = 12x + 44 Reorder the terms: 24 + 8x = 44 + 12x Solving 24 + 8x = 44 + 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. 24 + 8x + -12x = 44 + 12x + -12x Combine like terms: 8x + -12x = -4x 24 + -4x = 44 + 12x + -12x Combine like terms: 12x + -12x = 0 24 + -4x = 44 + 0 24 + -4x = 44 Add '-24' to each side of the equation. 24 + -24 + -4x = 44 + -24 Combine like terms: 24 + -24 = 0 0 + -4x = 44 + -24 -4x = 44 + -24 Combine like terms: 44 + -24 = 20 -4x = 20 Divide each side by '-4'. x = -5 Simplifying x = -5
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