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Simplifying 7 + 6x + 9(x + 1) = 46 Reorder the terms: 7 + 6x + 9(1 + x) = 46 7 + 6x + (1 * 9 + x * 9) = 46 7 + 6x + (9 + 9x) = 46 Reorder the terms: 7 + 9 + 6x + 9x = 46 Combine like terms: 7 + 9 = 16 16 + 6x + 9x = 46 Combine like terms: 6x + 9x = 15x 16 + 15x = 46 Solving 16 + 15x = 46 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 + 15x = 46 + -16 Combine like terms: 16 + -16 = 0 0 + 15x = 46 + -16 15x = 46 + -16 Combine like terms: 46 + -16 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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