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Simplifying 3(x + 7) = -6 + -6x Reorder the terms: 3(7 + x) = -6 + -6x (7 * 3 + x * 3) = -6 + -6x (21 + 3x) = -6 + -6x Solving 21 + 3x = -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. 21 + 3x + 6x = -6 + -6x + 6x Combine like terms: 3x + 6x = 9x 21 + 9x = -6 + -6x + 6x Combine like terms: -6x + 6x = 0 21 + 9x = -6 + 0 21 + 9x = -6 Add '-21' to each side of the equation. 21 + -21 + 9x = -6 + -21 Combine like terms: 21 + -21 = 0 0 + 9x = -6 + -21 9x = -6 + -21 Combine like terms: -6 + -21 = -27 9x = -27 Divide each side by '9'. x = -3 Simplifying x = -3
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