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Simplifying -12 = 4 + 4(2x + 4) Reorder the terms: -12 = 4 + 4(4 + 2x) -12 = 4 + (4 * 4 + 2x * 4) -12 = 4 + (16 + 8x) Combine like terms: 4 + 16 = 20 -12 = 20 + 8x Solving -12 = 20 + 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. -12 + -8x = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + -8x = 20 + 0 -12 + -8x = 20 Add '12' to each side of the equation. -12 + 12 + -8x = 20 + 12 Combine like terms: -12 + 12 = 0 0 + -8x = 20 + 12 -8x = 20 + 12 Combine like terms: 20 + 12 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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