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Simplifying (x + 2) + (4x + -47) = 180 Reorder the terms: (2 + x) + (4x + -47) = 180 Remove parenthesis around (2 + x) 2 + x + (4x + -47) = 180 Reorder the terms: 2 + x + (-47 + 4x) = 180 Remove parenthesis around (-47 + 4x) 2 + x + -47 + 4x = 180 Reorder the terms: 2 + -47 + x + 4x = 180 Combine like terms: 2 + -47 = -45 -45 + x + 4x = 180 Combine like terms: x + 4x = 5x -45 + 5x = 180 Solving -45 + 5x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 5x = 180 + 45 Combine like terms: -45 + 45 = 0 0 + 5x = 180 + 45 5x = 180 + 45 Combine like terms: 180 + 45 = 225 5x = 225 Divide each side by '5'. x = 45 Simplifying x = 45
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