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Simplifying (6x + -27) = (4x + 7) Reorder the terms: (-27 + 6x) = (4x + 7) Remove parenthesis around (-27 + 6x) -27 + 6x = (4x + 7) Reorder the terms: -27 + 6x = (7 + 4x) Remove parenthesis around (7 + 4x) -27 + 6x = 7 + 4x Solving -27 + 6x = 7 + 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 + 6x + -4x = 7 + 4x + -4x Combine like terms: 6x + -4x = 2x -27 + 2x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 -27 + 2x = 7 + 0 -27 + 2x = 7 Add '27' to each side of the equation. -27 + 27 + 2x = 7 + 27 Combine like terms: -27 + 27 = 0 0 + 2x = 7 + 27 2x = 7 + 27 Combine like terms: 7 + 27 = 34 2x = 34 Divide each side by '2'. x = 17 Simplifying x = 17
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