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Simplifying 4(2x + -2) = 5x + -32 Reorder the terms: 4(-2 + 2x) = 5x + -32 (-2 * 4 + 2x * 4) = 5x + -32 (-8 + 8x) = 5x + -32 Reorder the terms: -8 + 8x = -32 + 5x Solving -8 + 8x = -32 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -8 + 8x + -5x = -32 + 5x + -5x Combine like terms: 8x + -5x = 3x -8 + 3x = -32 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + 3x = -32 + 0 -8 + 3x = -32 Add '8' to each side of the equation. -8 + 8 + 3x = -32 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = -32 + 8 3x = -32 + 8 Combine like terms: -32 + 8 = -24 3x = -24 Divide each side by '3'. x = -8 Simplifying x = -8
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