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Simplifying 6(2x + 3) = 4(2x + 1) Reorder the terms: 6(3 + 2x) = 4(2x + 1) (3 * 6 + 2x * 6) = 4(2x + 1) (18 + 12x) = 4(2x + 1) Reorder the terms: 18 + 12x = 4(1 + 2x) 18 + 12x = (1 * 4 + 2x * 4) 18 + 12x = (4 + 8x) Solving 18 + 12x = 4 + 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 = 4 + 8x + -8x Combine like terms: 12x + -8x = 4x 18 + 4x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 18 + 4x = 4 + 0 18 + 4x = 4 Add '-18' to each side of the equation. 18 + -18 + 4x = 4 + -18 Combine like terms: 18 + -18 = 0 0 + 4x = 4 + -18 4x = 4 + -18 Combine like terms: 4 + -18 = -14 4x = -14 Divide each side by '4'. x = -3.5 Simplifying x = -3.5
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