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Simplifying 3(x + 7) + 7(x + 5) = 100 Reorder the terms: 3(7 + x) + 7(x + 5) = 100 (7 * 3 + x * 3) + 7(x + 5) = 100 (21 + 3x) + 7(x + 5) = 100 Reorder the terms: 21 + 3x + 7(5 + x) = 100 21 + 3x + (5 * 7 + x * 7) = 100 21 + 3x + (35 + 7x) = 100 Reorder the terms: 21 + 35 + 3x + 7x = 100 Combine like terms: 21 + 35 = 56 56 + 3x + 7x = 100 Combine like terms: 3x + 7x = 10x 56 + 10x = 100 Solving 56 + 10x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 10x = 100 + -56 Combine like terms: 56 + -56 = 0 0 + 10x = 100 + -56 10x = 100 + -56 Combine like terms: 100 + -56 = 44 10x = 44 Divide each side by '10'. x = 4.4 Simplifying x = 4.4
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