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Simplifying -5(3 + -5x) = 17x + 17 (3 * -5 + -5x * -5) = 17x + 17 (-15 + 25x) = 17x + 17 Reorder the terms: -15 + 25x = 17 + 17x Solving -15 + 25x = 17 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -15 + 25x + -17x = 17 + 17x + -17x Combine like terms: 25x + -17x = 8x -15 + 8x = 17 + 17x + -17x Combine like terms: 17x + -17x = 0 -15 + 8x = 17 + 0 -15 + 8x = 17 Add '15' to each side of the equation. -15 + 15 + 8x = 17 + 15 Combine like terms: -15 + 15 = 0 0 + 8x = 17 + 15 8x = 17 + 15 Combine like terms: 17 + 15 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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