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Simplifying (2x + -6) = (3x + -27) Reorder the terms: (-6 + 2x) = (3x + -27) Remove parenthesis around (-6 + 2x) -6 + 2x = (3x + -27) Reorder the terms: -6 + 2x = (-27 + 3x) Remove parenthesis around (-27 + 3x) -6 + 2x = -27 + 3x Solving -6 + 2x = -27 + 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. -6 + 2x + -3x = -27 + 3x + -3x Combine like terms: 2x + -3x = -1x -6 + -1x = -27 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -1x = -27 + 0 -6 + -1x = -27 Add '6' to each side of the equation. -6 + 6 + -1x = -27 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -27 + 6 -1x = -27 + 6 Combine like terms: -27 + 6 = -21 -1x = -21 Divide each side by '-1'. x = 21 Simplifying x = 21
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