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