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Simplifying -8(4 + -1x) = 2x + -1(-6) (4 * -8 + -1x * -8) = 2x + -1(-6) (-32 + 8x) = 2x + -1(-6) Multiply -1 * -6 -32 + 8x = 2x + 6 Reorder the terms: -32 + 8x = 6 + 2x Solving -32 + 8x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -32 + 8x + -2x = 6 + 2x + -2x Combine like terms: 8x + -2x = 6x -32 + 6x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -32 + 6x = 6 + 0 -32 + 6x = 6 Add '32' to each side of the equation. -32 + 32 + 6x = 6 + 32 Combine like terms: -32 + 32 = 0 0 + 6x = 6 + 32 6x = 6 + 32 Combine like terms: 6 + 32 = 38 6x = 38 Divide each side by '6'. x = 6.333333333 Simplifying x = 6.333333333
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