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Simplifying 13(x + -4) = 8x + -32 Reorder the terms: 13(-4 + x) = 8x + -32 (-4 * 13 + x * 13) = 8x + -32 (-52 + 13x) = 8x + -32 Reorder the terms: -52 + 13x = -32 + 8x Solving -52 + 13x = -32 + 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. -52 + 13x + -8x = -32 + 8x + -8x Combine like terms: 13x + -8x = 5x -52 + 5x = -32 + 8x + -8x Combine like terms: 8x + -8x = 0 -52 + 5x = -32 + 0 -52 + 5x = -32 Add '52' to each side of the equation. -52 + 52 + 5x = -32 + 52 Combine like terms: -52 + 52 = 0 0 + 5x = -32 + 52 5x = -32 + 52 Combine like terms: -32 + 52 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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