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Simplifying 3[x + 6] = 9x + -6 Reorder the terms: 3[6 + x] = 9x + -6 [6 * 3 + x * 3] = 9x + -6 [18 + 3x] = 9x + -6 Reorder the terms: 18 + 3x = -6 + 9x Solving 18 + 3x = -6 + 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. 18 + 3x + -9x = -6 + 9x + -9x Combine like terms: 3x + -9x = -6x 18 + -6x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 18 + -6x = -6 + 0 18 + -6x = -6 Add '-18' to each side of the equation. 18 + -18 + -6x = -6 + -18 Combine like terms: 18 + -18 = 0 0 + -6x = -6 + -18 -6x = -6 + -18 Combine like terms: -6 + -18 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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