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Simplifying -5(x + 1) = 4x + -32 Reorder the terms: -5(1 + x) = 4x + -32 (1 * -5 + x * -5) = 4x + -32 (-5 + -5x) = 4x + -32 Reorder the terms: -5 + -5x = -32 + 4x Solving -5 + -5x = -32 + 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. -5 + -5x + -4x = -32 + 4x + -4x Combine like terms: -5x + -4x = -9x -5 + -9x = -32 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + -9x = -32 + 0 -5 + -9x = -32 Add '5' to each side of the equation. -5 + 5 + -9x = -32 + 5 Combine like terms: -5 + 5 = 0 0 + -9x = -32 + 5 -9x = -32 + 5 Combine like terms: -32 + 5 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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