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Simplifying -8x + 32 = 4(-2 + -4x) Reorder the terms: 32 + -8x = 4(-2 + -4x) 32 + -8x = (-2 * 4 + -4x * 4) 32 + -8x = (-8 + -16x) Solving 32 + -8x = -8 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 32 + -8x + 16x = -8 + -16x + 16x Combine like terms: -8x + 16x = 8x 32 + 8x = -8 + -16x + 16x Combine like terms: -16x + 16x = 0 32 + 8x = -8 + 0 32 + 8x = -8 Add '-32' to each side of the equation. 32 + -32 + 8x = -8 + -32 Combine like terms: 32 + -32 = 0 0 + 8x = -8 + -32 8x = -8 + -32 Combine like terms: -8 + -32 = -40 8x = -40 Divide each side by '8'. x = -5 Simplifying x = -5
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