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Simplifying -2x + -1(3x + 8) = 6x + -38 Reorder the terms: -2x + -1(8 + 3x) = 6x + -38 -2x + (8 * -1 + 3x * -1) = 6x + -38 -2x + (-8 + -3x) = 6x + -38 Reorder the terms: -8 + -2x + -3x = 6x + -38 Combine like terms: -2x + -3x = -5x -8 + -5x = 6x + -38 Reorder the terms: -8 + -5x = -38 + 6x Solving -8 + -5x = -38 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + -5x + -6x = -38 + 6x + -6x Combine like terms: -5x + -6x = -11x -8 + -11x = -38 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -11x = -38 + 0 -8 + -11x = -38 Add '8' to each side of the equation. -8 + 8 + -11x = -38 + 8 Combine like terms: -8 + 8 = 0 0 + -11x = -38 + 8 -11x = -38 + 8 Combine like terms: -38 + 8 = -30 -11x = -30 Divide each side by '-11'. x = 2.727272727 Simplifying x = 2.727272727
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