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Simplifying 7(2x + 1) + 9(2x + 1) = 144 Reorder the terms: 7(1 + 2x) + 9(2x + 1) = 144 (1 * 7 + 2x * 7) + 9(2x + 1) = 144 (7 + 14x) + 9(2x + 1) = 144 Reorder the terms: 7 + 14x + 9(1 + 2x) = 144 7 + 14x + (1 * 9 + 2x * 9) = 144 7 + 14x + (9 + 18x) = 144 Reorder the terms: 7 + 9 + 14x + 18x = 144 Combine like terms: 7 + 9 = 16 16 + 14x + 18x = 144 Combine like terms: 14x + 18x = 32x 16 + 32x = 144 Solving 16 + 32x = 144 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 = 144 + -16 Combine like terms: 16 + -16 = 0 0 + 32x = 144 + -16 32x = 144 + -16 Combine like terms: 144 + -16 = 128 32x = 128 Divide each side by '32'. x = 4 Simplifying x = 4
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