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Simplifying 13x + 32 + -9x = -24 + -4x Reorder the terms: 32 + 13x + -9x = -24 + -4x Combine like terms: 13x + -9x = 4x 32 + 4x = -24 + -4x Solving 32 + 4x = -24 + -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 + 4x + 4x = -24 + -4x + 4x Combine like terms: 4x + 4x = 8x 32 + 8x = -24 + -4x + 4x Combine like terms: -4x + 4x = 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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