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Simplifying 5x + 13 = -83 + -7x Reorder the terms: 13 + 5x = -83 + -7x Solving 13 + 5x = -83 + -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. 13 + 5x + 7x = -83 + -7x + 7x Combine like terms: 5x + 7x = 12x 13 + 12x = -83 + -7x + 7x Combine like terms: -7x + 7x = 0 13 + 12x = -83 + 0 13 + 12x = -83 Add '-13' to each side of the equation. 13 + -13 + 12x = -83 + -13 Combine like terms: 13 + -13 = 0 0 + 12x = -83 + -13 12x = -83 + -13 Combine like terms: -83 + -13 = -96 12x = -96 Divide each side by '12'. x = -8 Simplifying x = -8
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