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Simplifying 7x + 3 = 5x + 13 Reorder the terms: 3 + 7x = 5x + 13 Reorder the terms: 3 + 7x = 13 + 5x Solving 3 + 7x = 13 + 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. 3 + 7x + -5x = 13 + 5x + -5x Combine like terms: 7x + -5x = 2x 3 + 2x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + 2x = 13 + 0 3 + 2x = 13 Add '-3' to each side of the equation. 3 + -3 + 2x = 13 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 13 + -3 2x = 13 + -3 Combine like terms: 13 + -3 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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