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Simplifying 7x + 3 = 5(x + 1) Reorder the terms: 3 + 7x = 5(x + 1) Reorder the terms: 3 + 7x = 5(1 + x) 3 + 7x = (1 * 5 + x * 5) 3 + 7x = (5 + 5x) Solving 3 + 7x = 5 + 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 = 5 + 5x + -5x Combine like terms: 7x + -5x = 2x 3 + 2x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + 2x = 5 + 0 3 + 2x = 5 Add '-3' to each side of the equation. 3 + -3 + 2x = 5 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 5 + -3 2x = 5 + -3 Combine like terms: 5 + -3 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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