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Simplifying 9(2x + 1) + 7(2x + 1) = 176 Reorder the terms: 9(1 + 2x) + 7(2x + 1) = 176 (1 * 9 + 2x * 9) + 7(2x + 1) = 176 (9 + 18x) + 7(2x + 1) = 176 Reorder the terms: 9 + 18x + 7(1 + 2x) = 176 9 + 18x + (1 * 7 + 2x * 7) = 176 9 + 18x + (7 + 14x) = 176 Reorder the terms: 9 + 7 + 18x + 14x = 176 Combine like terms: 9 + 7 = 16 16 + 18x + 14x = 176 Combine like terms: 18x + 14x = 32x 16 + 32x = 176 Solving 16 + 32x = 176 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 32x = 176 + -16 Combine like terms: 16 + -16 = 0 0 + 32x = 176 + -16 32x = 176 + -16 Combine like terms: 176 + -16 = 160 32x = 160 Divide each side by '32'. x = 5 Simplifying x = 5
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