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Simplifying 3(7x + 4) = 6(3x + 4) Reorder the terms: 3(4 + 7x) = 6(3x + 4) (4 * 3 + 7x * 3) = 6(3x + 4) (12 + 21x) = 6(3x + 4) Reorder the terms: 12 + 21x = 6(4 + 3x) 12 + 21x = (4 * 6 + 3x * 6) 12 + 21x = (24 + 18x) Solving 12 + 21x = 24 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 12 + 21x + -18x = 24 + 18x + -18x Combine like terms: 21x + -18x = 3x 12 + 3x = 24 + 18x + -18x Combine like terms: 18x + -18x = 0 12 + 3x = 24 + 0 12 + 3x = 24 Add '-12' to each side of the equation. 12 + -12 + 3x = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 24 + -12 3x = 24 + -12 Combine like terms: 24 + -12 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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