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Simplifying 9(x + 1) = 6x + 78 Reorder the terms: 9(1 + x) = 6x + 78 (1 * 9 + x * 9) = 6x + 78 (9 + 9x) = 6x + 78 Reorder the terms: 9 + 9x = 78 + 6x Solving 9 + 9x = 78 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 9 + 9x + -6x = 78 + 6x + -6x Combine like terms: 9x + -6x = 3x 9 + 3x = 78 + 6x + -6x Combine like terms: 6x + -6x = 0 9 + 3x = 78 + 0 9 + 3x = 78 Add '-9' to each side of the equation. 9 + -9 + 3x = 78 + -9 Combine like terms: 9 + -9 = 0 0 + 3x = 78 + -9 3x = 78 + -9 Combine like terms: 78 + -9 = 69 3x = 69 Divide each side by '3'. x = 23 Simplifying x = 23
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