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Simplifying 6 + 9(x + -3) = 8 + -3(x + -8) Reorder the terms: 6 + 9(-3 + x) = 8 + -3(x + -8) 6 + (-3 * 9 + x * 9) = 8 + -3(x + -8) 6 + (-27 + 9x) = 8 + -3(x + -8) Combine like terms: 6 + -27 = -21 -21 + 9x = 8 + -3(x + -8) Reorder the terms: -21 + 9x = 8 + -3(-8 + x) -21 + 9x = 8 + (-8 * -3 + x * -3) -21 + 9x = 8 + (24 + -3x) Combine like terms: 8 + 24 = 32 -21 + 9x = 32 + -3x Solving -21 + 9x = 32 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -21 + 9x + 3x = 32 + -3x + 3x Combine like terms: 9x + 3x = 12x -21 + 12x = 32 + -3x + 3x Combine like terms: -3x + 3x = 0 -21 + 12x = 32 + 0 -21 + 12x = 32 Add '21' to each side of the equation. -21 + 21 + 12x = 32 + 21 Combine like terms: -21 + 21 = 0 0 + 12x = 32 + 21 12x = 32 + 21 Combine like terms: 32 + 21 = 53 12x = 53 Divide each side by '12'. x = 4.416666667 Simplifying x = 4.416666667
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