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Simplifying (4x + -27) = (3x + 15) Reorder the terms: (-27 + 4x) = (3x + 15) Remove parenthesis around (-27 + 4x) -27 + 4x = (3x + 15) Reorder the terms: -27 + 4x = (15 + 3x) Remove parenthesis around (15 + 3x) -27 + 4x = 15 + 3x Solving -27 + 4x = 15 + 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. -27 + 4x + -3x = 15 + 3x + -3x Combine like terms: 4x + -3x = 1x -27 + 1x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 -27 + 1x = 15 + 0 -27 + 1x = 15 Add '27' to each side of the equation. -27 + 27 + 1x = 15 + 27 Combine like terms: -27 + 27 = 0 0 + 1x = 15 + 27 1x = 15 + 27 Combine like terms: 15 + 27 = 42 1x = 42 Divide each side by '1'. x = 42 Simplifying x = 42
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