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Simplifying -3(-47x + -17) = 13(32 + 8x) Reorder the terms: -3(-17 + -47x) = 13(32 + 8x) (-17 * -3 + -47x * -3) = 13(32 + 8x) (51 + 141x) = 13(32 + 8x) 51 + 141x = (32 * 13 + 8x * 13) 51 + 141x = (416 + 104x) Solving 51 + 141x = 416 + 104x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-104x' to each side of the equation. 51 + 141x + -104x = 416 + 104x + -104x Combine like terms: 141x + -104x = 37x 51 + 37x = 416 + 104x + -104x Combine like terms: 104x + -104x = 0 51 + 37x = 416 + 0 51 + 37x = 416 Add '-51' to each side of the equation. 51 + -51 + 37x = 416 + -51 Combine like terms: 51 + -51 = 0 0 + 37x = 416 + -51 37x = 416 + -51 Combine like terms: 416 + -51 = 365 37x = 365 Divide each side by '37'. x = 9.864864865 Simplifying x = 9.864864865
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