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Simplifying 5(2x + 1) + 2(x + 3) = 35 Reorder the terms: 5(1 + 2x) + 2(x + 3) = 35 (1 * 5 + 2x * 5) + 2(x + 3) = 35 (5 + 10x) + 2(x + 3) = 35 Reorder the terms: 5 + 10x + 2(3 + x) = 35 5 + 10x + (3 * 2 + x * 2) = 35 5 + 10x + (6 + 2x) = 35 Reorder the terms: 5 + 6 + 10x + 2x = 35 Combine like terms: 5 + 6 = 11 11 + 10x + 2x = 35 Combine like terms: 10x + 2x = 12x 11 + 12x = 35 Solving 11 + 12x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 12x = 35 + -11 Combine like terms: 11 + -11 = 0 0 + 12x = 35 + -11 12x = 35 + -11 Combine like terms: 35 + -11 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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