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Simplifying 3(x + 6) = 7 + -8x Reorder the terms: 3(6 + x) = 7 + -8x (6 * 3 + x * 3) = 7 + -8x (18 + 3x) = 7 + -8x Solving 18 + 3x = 7 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 18 + 3x + 8x = 7 + -8x + 8x Combine like terms: 3x + 8x = 11x 18 + 11x = 7 + -8x + 8x Combine like terms: -8x + 8x = 0 18 + 11x = 7 + 0 18 + 11x = 7 Add '-18' to each side of the equation. 18 + -18 + 11x = 7 + -18 Combine like terms: 18 + -18 = 0 0 + 11x = 7 + -18 11x = 7 + -18 Combine like terms: 7 + -18 = -11 11x = -11 Divide each side by '11'. x = -1 Simplifying x = -1
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