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Simplifying -6(x + -8) = 2x + -32 Reorder the terms: -6(-8 + x) = 2x + -32 (-8 * -6 + x * -6) = 2x + -32 (48 + -6x) = 2x + -32 Reorder the terms: 48 + -6x = -32 + 2x Solving 48 + -6x = -32 + 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. 48 + -6x + -2x = -32 + 2x + -2x Combine like terms: -6x + -2x = -8x 48 + -8x = -32 + 2x + -2x Combine like terms: 2x + -2x = 0 48 + -8x = -32 + 0 48 + -8x = -32 Add '-48' to each side of the equation. 48 + -48 + -8x = -32 + -48 Combine like terms: 48 + -48 = 0 0 + -8x = -32 + -48 -8x = -32 + -48 Combine like terms: -32 + -48 = -80 -8x = -80 Divide each side by '-8'. x = 10 Simplifying x = 10
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