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Simplifying -38 + -8x = 6(-2x + -1) Reorder the terms: -38 + -8x = 6(-1 + -2x) -38 + -8x = (-1 * 6 + -2x * 6) -38 + -8x = (-6 + -12x) Solving -38 + -8x = -6 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -38 + -8x + 12x = -6 + -12x + 12x Combine like terms: -8x + 12x = 4x -38 + 4x = -6 + -12x + 12x Combine like terms: -12x + 12x = 0 -38 + 4x = -6 + 0 -38 + 4x = -6 Add '38' to each side of the equation. -38 + 38 + 4x = -6 + 38 Combine like terms: -38 + 38 = 0 0 + 4x = -6 + 38 4x = -6 + 38 Combine like terms: -6 + 38 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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