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Simplifying 7(x + 7) + 3(x + 15) = 145 Reorder the terms: 7(7 + x) + 3(x + 15) = 145 (7 * 7 + x * 7) + 3(x + 15) = 145 (49 + 7x) + 3(x + 15) = 145 Reorder the terms: 49 + 7x + 3(15 + x) = 145 49 + 7x + (15 * 3 + x * 3) = 145 49 + 7x + (45 + 3x) = 145 Reorder the terms: 49 + 45 + 7x + 3x = 145 Combine like terms: 49 + 45 = 94 94 + 7x + 3x = 145 Combine like terms: 7x + 3x = 10x 94 + 10x = 145 Solving 94 + 10x = 145 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-94' to each side of the equation. 94 + -94 + 10x = 145 + -94 Combine like terms: 94 + -94 = 0 0 + 10x = 145 + -94 10x = 145 + -94 Combine like terms: 145 + -94 = 51 10x = 51 Divide each side by '10'. x = 5.1 Simplifying x = 5.1
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