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Simplifying 8(8x + 5) = 7(3x + 9) Reorder the terms: 8(5 + 8x) = 7(3x + 9) (5 * 8 + 8x * 8) = 7(3x + 9) (40 + 64x) = 7(3x + 9) Reorder the terms: 40 + 64x = 7(9 + 3x) 40 + 64x = (9 * 7 + 3x * 7) 40 + 64x = (63 + 21x) Solving 40 + 64x = 63 + 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. 40 + 64x + -21x = 63 + 21x + -21x Combine like terms: 64x + -21x = 43x 40 + 43x = 63 + 21x + -21x Combine like terms: 21x + -21x = 0 40 + 43x = 63 + 0 40 + 43x = 63 Add '-40' to each side of the equation. 40 + -40 + 43x = 63 + -40 Combine like terms: 40 + -40 = 0 0 + 43x = 63 + -40 43x = 63 + -40 Combine like terms: 63 + -40 = 23 43x = 23 Divide each side by '43'. x = 0.5348837209 Simplifying x = 0.5348837209
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