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Simplifying -4x + 32 = 8(1 + -2x) Reorder the terms: 32 + -4x = 8(1 + -2x) 32 + -4x = (1 * 8 + -2x * 8) 32 + -4x = (8 + -16x) Solving 32 + -4x = 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 + -4x + 16x = 8 + -16x + 16x Combine like terms: -4x + 16x = 12x 32 + 12x = 8 + -16x + 16x Combine like terms: -16x + 16x = 0 32 + 12x = 8 + 0 32 + 12x = 8 Add '-32' to each side of the equation. 32 + -32 + 12x = 8 + -32 Combine like terms: 32 + -32 = 0 0 + 12x = 8 + -32 12x = 8 + -32 Combine like terms: 8 + -32 = -24 12x = -24 Divide each side by '12'. x = -2 Simplifying x = -2
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