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Simplifying (7x + -7) = (3x + 5) Reorder the terms: (-7 + 7x) = (3x + 5) Remove parenthesis around (-7 + 7x) -7 + 7x = (3x + 5) Reorder the terms: -7 + 7x = (5 + 3x) Remove parenthesis around (5 + 3x) -7 + 7x = 5 + 3x Solving -7 + 7x = 5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -7 + 7x + -3x = 5 + 3x + -3x Combine like terms: 7x + -3x = 4x -7 + 4x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + 4x = 5 + 0 -7 + 4x = 5 Add '7' to each side of the equation. -7 + 7 + 4x = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 5 + 7 4x = 5 + 7 Combine like terms: 5 + 7 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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