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Simplifying 0.33(9x + -12) = -1(-5x + -20) + 6x Reorder the terms: 0.33(-12 + 9x) = -1(-5x + -20) + 6x (-12 * 0.33 + 9x * 0.33) = -1(-5x + -20) + 6x (-3.96 + 2.97x) = -1(-5x + -20) + 6x Reorder the terms: -3.96 + 2.97x = -1(-20 + -5x) + 6x -3.96 + 2.97x = (-20 * -1 + -5x * -1) + 6x -3.96 + 2.97x = (20 + 5x) + 6x Combine like terms: 5x + 6x = 11x -3.96 + 2.97x = 20 + 11x Solving -3.96 + 2.97x = 20 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -3.96 + 2.97x + -11x = 20 + 11x + -11x Combine like terms: 2.97x + -11x = -8.03x -3.96 + -8.03x = 20 + 11x + -11x Combine like terms: 11x + -11x = 0 -3.96 + -8.03x = 20 + 0 -3.96 + -8.03x = 20 Add '3.96' to each side of the equation. -3.96 + 3.96 + -8.03x = 20 + 3.96 Combine like terms: -3.96 + 3.96 = 0.00 0.00 + -8.03x = 20 + 3.96 -8.03x = 20 + 3.96 Combine like terms: 20 + 3.96 = 23.96 -8.03x = 23.96 Divide each side by '-8.03'. x = -2.98381071 Simplifying x = -2.98381071
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