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Simplifying (7x + -27) = (4x + 12) Reorder the terms: (-27 + 7x) = (4x + 12) Remove parenthesis around (-27 + 7x) -27 + 7x = (4x + 12) Reorder the terms: -27 + 7x = (12 + 4x) Remove parenthesis around (12 + 4x) -27 + 7x = 12 + 4x Solving -27 + 7x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -27 + 7x + -4x = 12 + 4x + -4x Combine like terms: 7x + -4x = 3x -27 + 3x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -27 + 3x = 12 + 0 -27 + 3x = 12 Add '27' to each side of the equation. -27 + 27 + 3x = 12 + 27 Combine like terms: -27 + 27 = 0 0 + 3x = 12 + 27 3x = 12 + 27 Combine like terms: 12 + 27 = 39 3x = 39 Divide each side by '3'. x = 13 Simplifying x = 13
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