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Simplifying -8(8x + 1) + -5(x + -5) = 17 Reorder the terms: -8(1 + 8x) + -5(x + -5) = 17 (1 * -8 + 8x * -8) + -5(x + -5) = 17 (-8 + -64x) + -5(x + -5) = 17 Reorder the terms: -8 + -64x + -5(-5 + x) = 17 -8 + -64x + (-5 * -5 + x * -5) = 17 -8 + -64x + (25 + -5x) = 17 Reorder the terms: -8 + 25 + -64x + -5x = 17 Combine like terms: -8 + 25 = 17 17 + -64x + -5x = 17 Combine like terms: -64x + -5x = -69x 17 + -69x = 17 Add '-17' to each side of the equation. 17 + -17 + -69x = 17 + -17 Combine like terms: 17 + -17 = 0 0 + -69x = 17 + -17 -69x = 17 + -17 Combine like terms: 17 + -17 = 0 -69x = 0 Solving -69x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-69'. x = 0 Simplifying x = 0
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