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Simplifying 3(2 + -3x) + -8 = -6 + -1(5 + -3x) (2 * 3 + -3x * 3) + -8 = -6 + -1(5 + -3x) (6 + -9x) + -8 = -6 + -1(5 + -3x) Reorder the terms: 6 + -8 + -9x = -6 + -1(5 + -3x) Combine like terms: 6 + -8 = -2 -2 + -9x = -6 + -1(5 + -3x) -2 + -9x = -6 + (5 * -1 + -3x * -1) -2 + -9x = -6 + (-5 + 3x) Combine like terms: -6 + -5 = -11 -2 + -9x = -11 + 3x Solving -2 + -9x = -11 + 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. -2 + -9x + -3x = -11 + 3x + -3x Combine like terms: -9x + -3x = -12x -2 + -12x = -11 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -12x = -11 + 0 -2 + -12x = -11 Add '2' to each side of the equation. -2 + 2 + -12x = -11 + 2 Combine like terms: -2 + 2 = 0 0 + -12x = -11 + 2 -12x = -11 + 2 Combine like terms: -11 + 2 = -9 -12x = -9 Divide each side by '-12'. x = 0.75 Simplifying x = 0.75
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