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Simplifying 9 + 8(x + -4) + -6(2 + x) = 5(x + 9) Reorder the terms: 9 + 8(-4 + x) + -6(2 + x) = 5(x + 9) 9 + (-4 * 8 + x * 8) + -6(2 + x) = 5(x + 9) 9 + (-32 + 8x) + -6(2 + x) = 5(x + 9) 9 + -32 + 8x + (2 * -6 + x * -6) = 5(x + 9) 9 + -32 + 8x + (-12 + -6x) = 5(x + 9) Reorder the terms: 9 + -32 + -12 + 8x + -6x = 5(x + 9) Combine like terms: 9 + -32 = -23 -23 + -12 + 8x + -6x = 5(x + 9) Combine like terms: -23 + -12 = -35 -35 + 8x + -6x = 5(x + 9) Combine like terms: 8x + -6x = 2x -35 + 2x = 5(x + 9) Reorder the terms: -35 + 2x = 5(9 + x) -35 + 2x = (9 * 5 + x * 5) -35 + 2x = (45 + 5x) Solving -35 + 2x = 45 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -35 + 2x + -5x = 45 + 5x + -5x Combine like terms: 2x + -5x = -3x -35 + -3x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 -35 + -3x = 45 + 0 -35 + -3x = 45 Add '35' to each side of the equation. -35 + 35 + -3x = 45 + 35 Combine like terms: -35 + 35 = 0 0 + -3x = 45 + 35 -3x = 45 + 35 Combine like terms: 45 + 35 = 80 -3x = 80 Divide each side by '-3'. x = -26.66666667 Simplifying x = -26.66666667
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