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Simplifying 9(x + -1) = 6(x + 2) + -1x Reorder the terms: 9(-1 + x) = 6(x + 2) + -1x (-1 * 9 + x * 9) = 6(x + 2) + -1x (-9 + 9x) = 6(x + 2) + -1x Reorder the terms: -9 + 9x = 6(2 + x) + -1x -9 + 9x = (2 * 6 + x * 6) + -1x -9 + 9x = (12 + 6x) + -1x Combine like terms: 6x + -1x = 5x -9 + 9x = 12 + 5x Solving -9 + 9x = 12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -9 + 9x + -5x = 12 + 5x + -5x Combine like terms: 9x + -5x = 4x -9 + 4x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + 4x = 12 + 0 -9 + 4x = 12 Add '9' to each side of the equation. -9 + 9 + 4x = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 4x = 12 + 9 4x = 12 + 9 Combine like terms: 12 + 9 = 21 4x = 21 Divide each side by '4'. x = 5.25 Simplifying x = 5.25
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