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Simplifying -4(8 + -2x) + -6 = 6 + -3x (8 * -4 + -2x * -4) + -6 = 6 + -3x (-32 + 8x) + -6 = 6 + -3x Reorder the terms: -32 + -6 + 8x = 6 + -3x Combine like terms: -32 + -6 = -38 -38 + 8x = 6 + -3x Solving -38 + 8x = 6 + -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. -38 + 8x + 3x = 6 + -3x + 3x Combine like terms: 8x + 3x = 11x -38 + 11x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 -38 + 11x = 6 + 0 -38 + 11x = 6 Add '38' to each side of the equation. -38 + 38 + 11x = 6 + 38 Combine like terms: -38 + 38 = 0 0 + 11x = 6 + 38 11x = 6 + 38 Combine like terms: 6 + 38 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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