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Simplifying (13 + x) * 8 = 41 + x Reorder the terms for easier multiplication: 8(13 + x) = 41 + x (13 * 8 + x * 8) = 41 + x (104 + 8x) = 41 + x Solving 104 + 8x = 41 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 104 + 8x + -1x = 41 + x + -1x Combine like terms: 8x + -1x = 7x 104 + 7x = 41 + x + -1x Combine like terms: x + -1x = 0 104 + 7x = 41 + 0 104 + 7x = 41 Add '-104' to each side of the equation. 104 + -104 + 7x = 41 + -104 Combine like terms: 104 + -104 = 0 0 + 7x = 41 + -104 7x = 41 + -104 Combine like terms: 41 + -104 = -63 7x = -63 Divide each side by '7'. x = -9 Simplifying x = -9
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