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Simplifying 6[x + -1] = 9[x + 2] Reorder the terms: 6[-1 + x] = 9[x + 2] [-1 * 6 + x * 6] = 9[x + 2] [-6 + 6x] = 9[x + 2] Reorder the terms: -6 + 6x = 9[2 + x] -6 + 6x = [2 * 9 + x * 9] -6 + 6x = [18 + 9x] Solving -6 + 6x = 18 + 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 = 18 + 9x + -9x Combine like terms: 6x + -9x = -3x -6 + -3x = 18 + 9x + -9x Combine like terms: 9x + -9x = 0 -6 + -3x = 18 + 0 -6 + -3x = 18 Add '6' to each side of the equation. -6 + 6 + -3x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = 18 + 6 -3x = 18 + 6 Combine like terms: 18 + 6 = 24 -3x = 24 Divide each side by '-3'. x = -8 Simplifying x = -8
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