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