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Simplifying 8(8x + -17) = 312 Reorder the terms: 8(-17 + 8x) = 312 (-17 * 8 + 8x * 8) = 312 (-136 + 64x) = 312 Solving -136 + 64x = 312 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '136' to each side of the equation. -136 + 136 + 64x = 312 + 136 Combine like terms: -136 + 136 = 0 0 + 64x = 312 + 136 64x = 312 + 136 Combine like terms: 312 + 136 = 448 64x = 448 Divide each side by '64'. x = 7 Simplifying x = 7
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