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Simplifying 2(3 + x) + 5(x + 3) = 35 (3 * 2 + x * 2) + 5(x + 3) = 35 (6 + 2x) + 5(x + 3) = 35 Reorder the terms: 6 + 2x + 5(3 + x) = 35 6 + 2x + (3 * 5 + x * 5) = 35 6 + 2x + (15 + 5x) = 35 Reorder the terms: 6 + 15 + 2x + 5x = 35 Combine like terms: 6 + 15 = 21 21 + 2x + 5x = 35 Combine like terms: 2x + 5x = 7x 21 + 7x = 35 Solving 21 + 7x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 7x = 35 + -21 Combine like terms: 21 + -21 = 0 0 + 7x = 35 + -21 7x = 35 + -21 Combine like terms: 35 + -21 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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