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Simplifying 6(3 + 9x) = 8(x + -2) (3 * 6 + 9x * 6) = 8(x + -2) (18 + 54x) = 8(x + -2) Reorder the terms: 18 + 54x = 8(-2 + x) 18 + 54x = (-2 * 8 + x * 8) 18 + 54x = (-16 + 8x) Solving 18 + 54x = -16 + 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 + 54x + -8x = -16 + 8x + -8x Combine like terms: 54x + -8x = 46x 18 + 46x = -16 + 8x + -8x Combine like terms: 8x + -8x = 0 18 + 46x = -16 + 0 18 + 46x = -16 Add '-18' to each side of the equation. 18 + -18 + 46x = -16 + -18 Combine like terms: 18 + -18 = 0 0 + 46x = -16 + -18 46x = -16 + -18 Combine like terms: -16 + -18 = -34 46x = -34 Divide each side by '46'. x = -0.7391304348 Simplifying x = -0.7391304348
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