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Simplifying 4(13x + 6) = 3(7x + 8) Reorder the terms: 4(6 + 13x) = 3(7x + 8) (6 * 4 + 13x * 4) = 3(7x + 8) (24 + 52x) = 3(7x + 8) Reorder the terms: 24 + 52x = 3(8 + 7x) 24 + 52x = (8 * 3 + 7x * 3) 24 + 52x = (24 + 21x) Add '-24' to each side of the equation. 24 + -24 + 52x = 24 + -24 + 21x Combine like terms: 24 + -24 = 0 0 + 52x = 24 + -24 + 21x 52x = 24 + -24 + 21x Combine like terms: 24 + -24 = 0 52x = 0 + 21x 52x = 21x Solving 52x = 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 52x + -21x = 21x + -21x Combine like terms: 52x + -21x = 31x 31x = 21x + -21x Combine like terms: 21x + -21x = 0 31x = 0 Divide each side by '31'. x = 0 Simplifying x = 0
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