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Simplifying 4(x + 3) = 44 + -12x Reorder the terms: 4(3 + x) = 44 + -12x (3 * 4 + x * 4) = 44 + -12x (12 + 4x) = 44 + -12x Solving 12 + 4x = 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. 12 + 4x + 12x = 44 + -12x + 12x Combine like terms: 4x + 12x = 16x 12 + 16x = 44 + -12x + 12x Combine like terms: -12x + 12x = 0 12 + 16x = 44 + 0 12 + 16x = 44 Add '-12' to each side of the equation. 12 + -12 + 16x = 44 + -12 Combine like terms: 12 + -12 = 0 0 + 16x = 44 + -12 16x = 44 + -12 Combine like terms: 44 + -12 = 32 16x = 32 Divide each side by '16'. x = 2 Simplifying x = 2
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