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Simplifying 6(x + 1) = 9x + 24 Reorder the terms: 6(1 + x) = 9x + 24 (1 * 6 + x * 6) = 9x + 24 (6 + 6x) = 9x + 24 Reorder the terms: 6 + 6x = 24 + 9x Solving 6 + 6x = 24 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 6 + 6x + -9x = 24 + 9x + -9x Combine like terms: 6x + -9x = -3x 6 + -3x = 24 + 9x + -9x Combine like terms: 9x + -9x = 0 6 + -3x = 24 + 0 6 + -3x = 24 Add '-6' to each side of the equation. 6 + -6 + -3x = 24 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = 24 + -6 -3x = 24 + -6 Combine like terms: 24 + -6 = 18 -3x = 18 Divide each side by '-3'. x = -6 Simplifying x = -6
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