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Simplifying 5x + 8 = -100 + -7x Reorder the terms: 8 + 5x = -100 + -7x Solving 8 + 5x = -100 + -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. 8 + 5x + 7x = -100 + -7x + 7x Combine like terms: 5x + 7x = 12x 8 + 12x = -100 + -7x + 7x Combine like terms: -7x + 7x = 0 8 + 12x = -100 + 0 8 + 12x = -100 Add '-8' to each side of the equation. 8 + -8 + 12x = -100 + -8 Combine like terms: 8 + -8 = 0 0 + 12x = -100 + -8 12x = -100 + -8 Combine like terms: -100 + -8 = -108 12x = -108 Divide each side by '12'. x = -9 Simplifying x = -9
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