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Simplifying 3(4 + -4x) = 8(7 + -7x) (4 * 3 + -4x * 3) = 8(7 + -7x) (12 + -12x) = 8(7 + -7x) 12 + -12x = (7 * 8 + -7x * 8) 12 + -12x = (56 + -56x) Solving 12 + -12x = 56 + -56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56x' to each side of the equation. 12 + -12x + 56x = 56 + -56x + 56x Combine like terms: -12x + 56x = 44x 12 + 44x = 56 + -56x + 56x Combine like terms: -56x + 56x = 0 12 + 44x = 56 + 0 12 + 44x = 56 Add '-12' to each side of the equation. 12 + -12 + 44x = 56 + -12 Combine like terms: 12 + -12 = 0 0 + 44x = 56 + -12 44x = 56 + -12 Combine like terms: 56 + -12 = 44 44x = 44 Divide each side by '44'. x = 1 Simplifying x = 1
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