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Simplifying 3(7x + 3) + 1(7x + -1) = 204 Reorder the terms: 3(3 + 7x) + 1(7x + -1) = 204 (3 * 3 + 7x * 3) + 1(7x + -1) = 204 (9 + 21x) + 1(7x + -1) = 204 Reorder the terms: 9 + 21x + 1(-1 + 7x) = 204 9 + 21x + (-1 * 1 + 7x * 1) = 204 9 + 21x + (-1 + 7x) = 204 Reorder the terms: 9 + -1 + 21x + 7x = 204 Combine like terms: 9 + -1 = 8 8 + 21x + 7x = 204 Combine like terms: 21x + 7x = 28x 8 + 28x = 204 Solving 8 + 28x = 204 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 28x = 204 + -8 Combine like terms: 8 + -8 = 0 0 + 28x = 204 + -8 28x = 204 + -8 Combine like terms: 204 + -8 = 196 28x = 196 Divide each side by '28'. x = 7 Simplifying x = 7
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