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