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Simplifying 3(3x + 6) = 8(x + 2) Reorder the terms: 3(6 + 3x) = 8(x + 2) (6 * 3 + 3x * 3) = 8(x + 2) (18 + 9x) = 8(x + 2) Reorder the terms: 18 + 9x = 8(2 + x) 18 + 9x = (2 * 8 + x * 8) 18 + 9x = (16 + 8x) Solving 18 + 9x = 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 + 9x + -8x = 16 + 8x + -8x Combine like terms: 9x + -8x = 1x 18 + 1x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 18 + 1x = 16 + 0 18 + 1x = 16 Add '-18' to each side of the equation. 18 + -18 + 1x = 16 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = 16 + -18 1x = 16 + -18 Combine like terms: 16 + -18 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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