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Simplifying 2(x + 4) + 5(x + 3) = 100 Reorder the terms: 2(4 + x) + 5(x + 3) = 100 (4 * 2 + x * 2) + 5(x + 3) = 100 (8 + 2x) + 5(x + 3) = 100 Reorder the terms: 8 + 2x + 5(3 + x) = 100 8 + 2x + (3 * 5 + x * 5) = 100 8 + 2x + (15 + 5x) = 100 Reorder the terms: 8 + 15 + 2x + 5x = 100 Combine like terms: 8 + 15 = 23 23 + 2x + 5x = 100 Combine like terms: 2x + 5x = 7x 23 + 7x = 100 Solving 23 + 7x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 7x = 100 + -23 Combine like terms: 23 + -23 = 0 0 + 7x = 100 + -23 7x = 100 + -23 Combine like terms: 100 + -23 = 77 7x = 77 Divide each side by '7'. x = 11 Simplifying x = 11
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