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Simplifying 9(x + 1) = 3(x + 33) Reorder the terms: 9(1 + x) = 3(x + 33) (1 * 9 + x * 9) = 3(x + 33) (9 + 9x) = 3(x + 33) Reorder the terms: 9 + 9x = 3(33 + x) 9 + 9x = (33 * 3 + x * 3) 9 + 9x = (99 + 3x) Solving 9 + 9x = 99 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 9 + 9x + -3x = 99 + 3x + -3x Combine like terms: 9x + -3x = 6x 9 + 6x = 99 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + 6x = 99 + 0 9 + 6x = 99 Add '-9' to each side of the equation. 9 + -9 + 6x = 99 + -9 Combine like terms: 9 + -9 = 0 0 + 6x = 99 + -9 6x = 99 + -9 Combine like terms: 99 + -9 = 90 6x = 90 Divide each side by '6'. x = 15 Simplifying x = 15
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