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Simplifying 7x + 10 = 5(3 + x) Reorder the terms: 10 + 7x = 5(3 + x) 10 + 7x = (3 * 5 + x * 5) 10 + 7x = (15 + 5x) Solving 10 + 7x = 15 + 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. 10 + 7x + -5x = 15 + 5x + -5x Combine like terms: 7x + -5x = 2x 10 + 2x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + 2x = 15 + 0 10 + 2x = 15 Add '-10' to each side of the equation. 10 + -10 + 2x = 15 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 15 + -10 2x = 15 + -10 Combine like terms: 15 + -10 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5
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