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Simplifying 5x + 8 = -7x + -13 Reorder the terms: 8 + 5x = -7x + -13 Reorder the terms: 8 + 5x = -13 + -7x Solving 8 + 5x = -13 + -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 = -13 + -7x + 7x Combine like terms: 5x + 7x = 12x 8 + 12x = -13 + -7x + 7x Combine like terms: -7x + 7x = 0 8 + 12x = -13 + 0 8 + 12x = -13 Add '-8' to each side of the equation. 8 + -8 + 12x = -13 + -8 Combine like terms: 8 + -8 = 0 0 + 12x = -13 + -8 12x = -13 + -8 Combine like terms: -13 + -8 = -21 12x = -21 Divide each side by '12'. x = -1.75 Simplifying x = -1.75
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