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Simplifying 4x + -6(-2x + -8) = -32 Reorder the terms: 4x + -6(-8 + -2x) = -32 4x + (-8 * -6 + -2x * -6) = -32 4x + (48 + 12x) = -32 Reorder the terms: 48 + 4x + 12x = -32 Combine like terms: 4x + 12x = 16x 48 + 16x = -32 Solving 48 + 16x = -32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 16x = -32 + -48 Combine like terms: 48 + -48 = 0 0 + 16x = -32 + -48 16x = -32 + -48 Combine like terms: -32 + -48 = -80 16x = -80 Divide each side by '16'. x = -5 Simplifying x = -5
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