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Simplifying -7x + 8(4x + 13) = 204 Reorder the terms: -7x + 8(13 + 4x) = 204 -7x + (13 * 8 + 4x * 8) = 204 -7x + (104 + 32x) = 204 Reorder the terms: 104 + -7x + 32x = 204 Combine like terms: -7x + 32x = 25x 104 + 25x = 204 Solving 104 + 25x = 204 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-104' to each side of the equation. 104 + -104 + 25x = 204 + -104 Combine like terms: 104 + -104 = 0 0 + 25x = 204 + -104 25x = 204 + -104 Combine like terms: 204 + -104 = 100 25x = 100 Divide each side by '25'. x = 4 Simplifying x = 4
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