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Simplifying 13x + 32 + -8x = -24 + -3x Reorder the terms: 32 + 13x + -8x = -24 + -3x Combine like terms: 13x + -8x = 5x 32 + 5x = -24 + -3x Solving 32 + 5x = -24 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 32 + 5x + 3x = -24 + -3x + 3x Combine like terms: 5x + 3x = 8x 32 + 8x = -24 + -3x + 3x Combine like terms: -3x + 3x = 0 32 + 8x = -24 + 0 32 + 8x = -24 Add '-32' to each side of the equation. 32 + -32 + 8x = -24 + -32 Combine like terms: 32 + -32 = 0 0 + 8x = -24 + -32 8x = -24 + -32 Combine like terms: -24 + -32 = -56 8x = -56 Divide each side by '8'. x = -7 Simplifying x = -7
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