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Simplifying 7(x + 2) + 4(x + 6) = 137 Reorder the terms: 7(2 + x) + 4(x + 6) = 137 (2 * 7 + x * 7) + 4(x + 6) = 137 (14 + 7x) + 4(x + 6) = 137 Reorder the terms: 14 + 7x + 4(6 + x) = 137 14 + 7x + (6 * 4 + x * 4) = 137 14 + 7x + (24 + 4x) = 137 Reorder the terms: 14 + 24 + 7x + 4x = 137 Combine like terms: 14 + 24 = 38 38 + 7x + 4x = 137 Combine like terms: 7x + 4x = 11x 38 + 11x = 137 Solving 38 + 11x = 137 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 11x = 137 + -38 Combine like terms: 38 + -38 = 0 0 + 11x = 137 + -38 11x = 137 + -38 Combine like terms: 137 + -38 = 99 11x = 99 Divide each side by '11'. x = 9 Simplifying x = 9
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