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Simplifying 9(x + -1) = 6(x + 2) + -6 Reorder the terms: 9(-1 + x) = 6(x + 2) + -6 (-1 * 9 + x * 9) = 6(x + 2) + -6 (-9 + 9x) = 6(x + 2) + -6 Reorder the terms: -9 + 9x = 6(2 + x) + -6 -9 + 9x = (2 * 6 + x * 6) + -6 -9 + 9x = (12 + 6x) + -6 Reorder the terms: -9 + 9x = 12 + -6 + 6x Combine like terms: 12 + -6 = 6 -9 + 9x = 6 + 6x Solving -9 + 9x = 6 + 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 = 6 + 6x + -6x Combine like terms: 9x + -6x = 3x -9 + 3x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -9 + 3x = 6 + 0 -9 + 3x = 6 Add '9' to each side of the equation. -9 + 9 + 3x = 6 + 9 Combine like terms: -9 + 9 = 0 0 + 3x = 6 + 9 3x = 6 + 9 Combine like terms: 6 + 9 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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