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Simplifying -6[x + -3] = 3[x + 9] Reorder the terms: -6[-3 + x] = 3[x + 9] [-3 * -6 + x * -6] = 3[x + 9] [18 + -6x] = 3[x + 9] Reorder the terms: 18 + -6x = 3[9 + x] 18 + -6x = [9 * 3 + x * 3] 18 + -6x = [27 + 3x] Solving 18 + -6x = 27 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 18 + -6x + -3x = 27 + 3x + -3x Combine like terms: -6x + -3x = -9x 18 + -9x = 27 + 3x + -3x Combine like terms: 3x + -3x = 0 18 + -9x = 27 + 0 18 + -9x = 27 Add '-18' to each side of the equation. 18 + -18 + -9x = 27 + -18 Combine like terms: 18 + -18 = 0 0 + -9x = 27 + -18 -9x = 27 + -18 Combine like terms: 27 + -18 = 9 -9x = 9 Divide each side by '-9'. x = -1 Simplifying x = -1
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