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Simplifying -6 + -4(x + 5) + -5x = 3x + -2 Reorder the terms: -6 + -4(5 + x) + -5x = 3x + -2 -6 + (5 * -4 + x * -4) + -5x = 3x + -2 -6 + (-20 + -4x) + -5x = 3x + -2 Combine like terms: -6 + -20 = -26 -26 + -4x + -5x = 3x + -2 Combine like terms: -4x + -5x = -9x -26 + -9x = 3x + -2 Reorder the terms: -26 + -9x = -2 + 3x Solving -26 + -9x = -2 + 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. -26 + -9x + -3x = -2 + 3x + -3x Combine like terms: -9x + -3x = -12x -26 + -12x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -26 + -12x = -2 + 0 -26 + -12x = -2 Add '26' to each side of the equation. -26 + 26 + -12x = -2 + 26 Combine like terms: -26 + 26 = 0 0 + -12x = -2 + 26 -12x = -2 + 26 Combine like terms: -2 + 26 = 24 -12x = 24 Divide each side by '-12'. x = -2 Simplifying x = -2
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