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