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Simplifying 4x + -4 = 8(7 + -7x) Reorder the terms: -4 + 4x = 8(7 + -7x) -4 + 4x = (7 * 8 + -7x * 8) -4 + 4x = (56 + -56x) Solving -4 + 4x = 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. -4 + 4x + 56x = 56 + -56x + 56x Combine like terms: 4x + 56x = 60x -4 + 60x = 56 + -56x + 56x Combine like terms: -56x + 56x = 0 -4 + 60x = 56 + 0 -4 + 60x = 56 Add '4' to each side of the equation. -4 + 4 + 60x = 56 + 4 Combine like terms: -4 + 4 = 0 0 + 60x = 56 + 4 60x = 56 + 4 Combine like terms: 56 + 4 = 60 60x = 60 Divide each side by '60'. x = 1 Simplifying x = 1
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