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Simplifying -5x + -32 = 4x + 13 Reorder the terms: -32 + -5x = 4x + 13 Reorder the terms: -32 + -5x = 13 + 4x Solving -32 + -5x = 13 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -32 + -5x + -4x = 13 + 4x + -4x Combine like terms: -5x + -4x = -9x -32 + -9x = 13 + 4x + -4x Combine like terms: 4x + -4x = 0 -32 + -9x = 13 + 0 -32 + -9x = 13 Add '32' to each side of the equation. -32 + 32 + -9x = 13 + 32 Combine like terms: -32 + 32 = 0 0 + -9x = 13 + 32 -9x = 13 + 32 Combine like terms: 13 + 32 = 45 -9x = 45 Divide each side by '-9'. x = -5 Simplifying x = -5
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