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Simplifying 2(x + 6) + (3x + -27) = 180 Reorder the terms: 2(6 + x) + (3x + -27) = 180 (6 * 2 + x * 2) + (3x + -27) = 180 (12 + 2x) + (3x + -27) = 180 Reorder the terms: 12 + 2x + (-27 + 3x) = 180 Remove parenthesis around (-27 + 3x) 12 + 2x + -27 + 3x = 180 Reorder the terms: 12 + -27 + 2x + 3x = 180 Combine like terms: 12 + -27 = -15 -15 + 2x + 3x = 180 Combine like terms: 2x + 3x = 5x -15 + 5x = 180 Solving -15 + 5x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 5x = 180 + 15 Combine like terms: -15 + 15 = 0 0 + 5x = 180 + 15 5x = 180 + 15 Combine like terms: 180 + 15 = 195 5x = 195 Divide each side by '5'. x = 39 Simplifying x = 39
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