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Simplifying 5(5x + 8) = 13(9 + -4x) Reorder the terms: 5(8 + 5x) = 13(9 + -4x) (8 * 5 + 5x * 5) = 13(9 + -4x) (40 + 25x) = 13(9 + -4x) 40 + 25x = (9 * 13 + -4x * 13) 40 + 25x = (117 + -52x) Solving 40 + 25x = 117 + -52x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '52x' to each side of the equation. 40 + 25x + 52x = 117 + -52x + 52x Combine like terms: 25x + 52x = 77x 40 + 77x = 117 + -52x + 52x Combine like terms: -52x + 52x = 0 40 + 77x = 117 + 0 40 + 77x = 117 Add '-40' to each side of the equation. 40 + -40 + 77x = 117 + -40 Combine like terms: 40 + -40 = 0 0 + 77x = 117 + -40 77x = 117 + -40 Combine like terms: 117 + -40 = 77 77x = 77 Divide each side by '77'. x = 1 Simplifying x = 1
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