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Simplifying (x + -1) * 9 = 6x + 18 Reorder the terms: (-1 + x) * 9 = 6x + 18 Reorder the terms for easier multiplication: 9(-1 + x) = 6x + 18 (-1 * 9 + x * 9) = 6x + 18 (-9 + 9x) = 6x + 18 Reorder the terms: -9 + 9x = 18 + 6x Solving -9 + 9x = 18 + 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 = 18 + 6x + -6x Combine like terms: 9x + -6x = 3x -9 + 3x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 -9 + 3x = 18 + 0 -9 + 3x = 18 Add '9' to each side of the equation. -9 + 9 + 3x = 18 + 9 Combine like terms: -9 + 9 = 0 0 + 3x = 18 + 9 3x = 18 + 9 Combine like terms: 18 + 9 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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