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Simplifying 5x + 12 = -24 + -7x Reorder the terms: 12 + 5x = -24 + -7x Solving 12 + 5x = -24 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 12 + 5x + 7x = -24 + -7x + 7x Combine like terms: 5x + 7x = 12x 12 + 12x = -24 + -7x + 7x Combine like terms: -7x + 7x = 0 12 + 12x = -24 + 0 12 + 12x = -24 Add '-12' to each side of the equation. 12 + -12 + 12x = -24 + -12 Combine like terms: 12 + -12 = 0 0 + 12x = -24 + -12 12x = -24 + -12 Combine like terms: -24 + -12 = -36 12x = -36 Divide each side by '12'. x = -3 Simplifying x = -3
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