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Simplifying 6(2x + 3) = 2(4x + 7) Reorder the terms: 6(3 + 2x) = 2(4x + 7) (3 * 6 + 2x * 6) = 2(4x + 7) (18 + 12x) = 2(4x + 7) Reorder the terms: 18 + 12x = 2(7 + 4x) 18 + 12x = (7 * 2 + 4x * 2) 18 + 12x = (14 + 8x) Solving 18 + 12x = 14 + 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 + 12x + -8x = 14 + 8x + -8x Combine like terms: 12x + -8x = 4x 18 + 4x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 18 + 4x = 14 + 0 18 + 4x = 14 Add '-18' to each side of the equation. 18 + -18 + 4x = 14 + -18 Combine like terms: 18 + -18 = 0 0 + 4x = 14 + -18 4x = 14 + -18 Combine like terms: 14 + -18 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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