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Simplifying 5(x + 3) + 2(x + 4) = 93 Reorder the terms: 5(3 + x) + 2(x + 4) = 93 (3 * 5 + x * 5) + 2(x + 4) = 93 (15 + 5x) + 2(x + 4) = 93 Reorder the terms: 15 + 5x + 2(4 + x) = 93 15 + 5x + (4 * 2 + x * 2) = 93 15 + 5x + (8 + 2x) = 93 Reorder the terms: 15 + 8 + 5x + 2x = 93 Combine like terms: 15 + 8 = 23 23 + 5x + 2x = 93 Combine like terms: 5x + 2x = 7x 23 + 7x = 93 Solving 23 + 7x = 93 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 = 93 + -23 Combine like terms: 23 + -23 = 0 0 + 7x = 93 + -23 7x = 93 + -23 Combine like terms: 93 + -23 = 70 7x = 70 Divide each side by '7'. x = 10 Simplifying x = 10
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