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Simplifying 6 + 9(x + -9) = 6 + -8(x + -3) Reorder the terms: 6 + 9(-9 + x) = 6 + -8(x + -3) 6 + (-9 * 9 + x * 9) = 6 + -8(x + -3) 6 + (-81 + 9x) = 6 + -8(x + -3) Combine like terms: 6 + -81 = -75 -75 + 9x = 6 + -8(x + -3) Reorder the terms: -75 + 9x = 6 + -8(-3 + x) -75 + 9x = 6 + (-3 * -8 + x * -8) -75 + 9x = 6 + (24 + -8x) Combine like terms: 6 + 24 = 30 -75 + 9x = 30 + -8x Solving -75 + 9x = 30 + -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. -75 + 9x + 8x = 30 + -8x + 8x Combine like terms: 9x + 8x = 17x -75 + 17x = 30 + -8x + 8x Combine like terms: -8x + 8x = 0 -75 + 17x = 30 + 0 -75 + 17x = 30 Add '75' to each side of the equation. -75 + 75 + 17x = 30 + 75 Combine like terms: -75 + 75 = 0 0 + 17x = 30 + 75 17x = 30 + 75 Combine like terms: 30 + 75 = 105 17x = 105 Divide each side by '17'. x = 6.176470588 Simplifying x = 6.176470588
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