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Simplifying 3(4x + 5) = 7(3x + 8) Reorder the terms: 3(5 + 4x) = 7(3x + 8) (5 * 3 + 4x * 3) = 7(3x + 8) (15 + 12x) = 7(3x + 8) Reorder the terms: 15 + 12x = 7(8 + 3x) 15 + 12x = (8 * 7 + 3x * 7) 15 + 12x = (56 + 21x) Solving 15 + 12x = 56 + 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. 15 + 12x + -21x = 56 + 21x + -21x Combine like terms: 12x + -21x = -9x 15 + -9x = 56 + 21x + -21x Combine like terms: 21x + -21x = 0 15 + -9x = 56 + 0 15 + -9x = 56 Add '-15' to each side of the equation. 15 + -15 + -9x = 56 + -15 Combine like terms: 15 + -15 = 0 0 + -9x = 56 + -15 -9x = 56 + -15 Combine like terms: 56 + -15 = 41 -9x = 41 Divide each side by '-9'. x = -4.555555556 Simplifying x = -4.555555556
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