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Simplifying -6(9 + -5x) = 9x + 9 (9 * -6 + -5x * -6) = 9x + 9 (-54 + 30x) = 9x + 9 Reorder the terms: -54 + 30x = 9 + 9x Solving -54 + 30x = 9 + 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. -54 + 30x + -9x = 9 + 9x + -9x Combine like terms: 30x + -9x = 21x -54 + 21x = 9 + 9x + -9x Combine like terms: 9x + -9x = 0 -54 + 21x = 9 + 0 -54 + 21x = 9 Add '54' to each side of the equation. -54 + 54 + 21x = 9 + 54 Combine like terms: -54 + 54 = 0 0 + 21x = 9 + 54 21x = 9 + 54 Combine like terms: 9 + 54 = 63 21x = 63 Divide each side by '21'. x = 3 Simplifying x = 3
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