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Simplifying -32 = 4x + 4(x + 2) Reorder the terms: -32 = 4x + 4(2 + x) -32 = 4x + (2 * 4 + x * 4) -32 = 4x + (8 + 4x) Reorder the terms: -32 = 8 + 4x + 4x Combine like terms: 4x + 4x = 8x -32 = 8 + 8x Solving -32 = 8 + 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. -32 + -8x = 8 + 8x + -8x Combine like terms: 8x + -8x = 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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