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Simplifying -8(x + -8) = 9(x + -5) Reorder the terms: -8(-8 + x) = 9(x + -5) (-8 * -8 + x * -8) = 9(x + -5) (64 + -8x) = 9(x + -5) Reorder the terms: 64 + -8x = 9(-5 + x) 64 + -8x = (-5 * 9 + x * 9) 64 + -8x = (-45 + 9x) Solving 64 + -8x = -45 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 64 + -8x + -9x = -45 + 9x + -9x Combine like terms: -8x + -9x = -17x 64 + -17x = -45 + 9x + -9x Combine like terms: 9x + -9x = 0 64 + -17x = -45 + 0 64 + -17x = -45 Add '-64' to each side of the equation. 64 + -64 + -17x = -45 + -64 Combine like terms: 64 + -64 = 0 0 + -17x = -45 + -64 -17x = -45 + -64 Combine like terms: -45 + -64 = -109 -17x = -109 Divide each side by '-17'. x = 6.411764706 Simplifying x = 6.411764706
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