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Simplifying 3(2x + 6) = 4(x + 8) Reorder the terms: 3(6 + 2x) = 4(x + 8) (6 * 3 + 2x * 3) = 4(x + 8) (18 + 6x) = 4(x + 8) Reorder the terms: 18 + 6x = 4(8 + x) 18 + 6x = (8 * 4 + x * 4) 18 + 6x = (32 + 4x) Solving 18 + 6x = 32 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 18 + 6x + -4x = 32 + 4x + -4x Combine like terms: 6x + -4x = 2x 18 + 2x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + 2x = 32 + 0 18 + 2x = 32 Add '-18' to each side of the equation. 18 + -18 + 2x = 32 + -18 Combine like terms: 18 + -18 = 0 0 + 2x = 32 + -18 2x = 32 + -18 Combine like terms: 32 + -18 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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