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Simplifying 7x + 52 = 5x + 44 Reorder the terms: 52 + 7x = 5x + 44 Reorder the terms: 52 + 7x = 44 + 5x Solving 52 + 7x = 44 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 52 + 7x + -5x = 44 + 5x + -5x Combine like terms: 7x + -5x = 2x 52 + 2x = 44 + 5x + -5x Combine like terms: 5x + -5x = 0 52 + 2x = 44 + 0 52 + 2x = 44 Add '-52' to each side of the equation. 52 + -52 + 2x = 44 + -52 Combine like terms: 52 + -52 = 0 0 + 2x = 44 + -52 2x = 44 + -52 Combine like terms: 44 + -52 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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