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Simplifying (5x + -47) = (3x + 45) Reorder the terms: (-47 + 5x) = (3x + 45) Remove parenthesis around (-47 + 5x) -47 + 5x = (3x + 45) Reorder the terms: -47 + 5x = (45 + 3x) Remove parenthesis around (45 + 3x) -47 + 5x = 45 + 3x Solving -47 + 5x = 45 + 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. -47 + 5x + -3x = 45 + 3x + -3x Combine like terms: 5x + -3x = 2x -47 + 2x = 45 + 3x + -3x Combine like terms: 3x + -3x = 0 -47 + 2x = 45 + 0 -47 + 2x = 45 Add '47' to each side of the equation. -47 + 47 + 2x = 45 + 47 Combine like terms: -47 + 47 = 0 0 + 2x = 45 + 47 2x = 45 + 47 Combine like terms: 45 + 47 = 92 2x = 92 Divide each side by '2'. x = 46 Simplifying x = 46
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