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Simplifying -4x + 4 = -4(2x + 8) Reorder the terms: 4 + -4x = -4(2x + 8) Reorder the terms: 4 + -4x = -4(8 + 2x) 4 + -4x = (8 * -4 + 2x * -4) 4 + -4x = (-32 + -8x) Solving 4 + -4x = -32 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 4 + -4x + 8x = -32 + -8x + 8x Combine like terms: -4x + 8x = 4x 4 + 4x = -32 + -8x + 8x Combine like terms: -8x + 8x = 0 4 + 4x = -32 + 0 4 + 4x = -32 Add '-4' to each side of the equation. 4 + -4 + 4x = -32 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = -32 + -4 4x = -32 + -4 Combine like terms: -32 + -4 = -36 4x = -36 Divide each side by '4'. x = -9 Simplifying x = -9
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