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Simplifying 4x + -32 = -4(2x + 2) Reorder the terms: -32 + 4x = -4(2x + 2) Reorder the terms: -32 + 4x = -4(2 + 2x) -32 + 4x = (2 * -4 + 2x * -4) -32 + 4x = (-8 + -8x) Solving -32 + 4x = -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 + 4x + 8x = -8 + -8x + 8x Combine like terms: 4x + 8x = 12x -32 + 12x = -8 + -8x + 8x Combine like terms: -8x + 8x = 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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