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Simplifying 9 + 3(x + -7) = 11 + -8(x + -9) Reorder the terms: 9 + 3(-7 + x) = 11 + -8(x + -9) 9 + (-7 * 3 + x * 3) = 11 + -8(x + -9) 9 + (-21 + 3x) = 11 + -8(x + -9) Combine like terms: 9 + -21 = -12 -12 + 3x = 11 + -8(x + -9) Reorder the terms: -12 + 3x = 11 + -8(-9 + x) -12 + 3x = 11 + (-9 * -8 + x * -8) -12 + 3x = 11 + (72 + -8x) Combine like terms: 11 + 72 = 83 -12 + 3x = 83 + -8x Solving -12 + 3x = 83 + -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. -12 + 3x + 8x = 83 + -8x + 8x Combine like terms: 3x + 8x = 11x -12 + 11x = 83 + -8x + 8x Combine like terms: -8x + 8x = 0 -12 + 11x = 83 + 0 -12 + 11x = 83 Add '12' to each side of the equation. -12 + 12 + 11x = 83 + 12 Combine like terms: -12 + 12 = 0 0 + 11x = 83 + 12 11x = 83 + 12 Combine like terms: 83 + 12 = 95 11x = 95 Divide each side by '11'. x = 8.636363636 Simplifying x = 8.636363636
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