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Simplifying 13(8 + -4x) = 4(4x + -25) (8 * 13 + -4x * 13) = 4(4x + -25) (104 + -52x) = 4(4x + -25) Reorder the terms: 104 + -52x = 4(-25 + 4x) 104 + -52x = (-25 * 4 + 4x * 4) 104 + -52x = (-100 + 16x) Solving 104 + -52x = -100 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 104 + -52x + -16x = -100 + 16x + -16x Combine like terms: -52x + -16x = -68x 104 + -68x = -100 + 16x + -16x Combine like terms: 16x + -16x = 0 104 + -68x = -100 + 0 104 + -68x = -100 Add '-104' to each side of the equation. 104 + -104 + -68x = -100 + -104 Combine like terms: 104 + -104 = 0 0 + -68x = -100 + -104 -68x = -100 + -104 Combine like terms: -100 + -104 = -204 -68x = -204 Divide each side by '-68'. x = 3 Simplifying x = 3
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