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Simplifying -5x + -13 = 8x + 13 Reorder the terms: -13 + -5x = 8x + 13 Reorder the terms: -13 + -5x = 13 + 8x Solving -13 + -5x = 13 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -13 + -5x + -8x = 13 + 8x + -8x Combine like terms: -5x + -8x = -13x -13 + -13x = 13 + 8x + -8x Combine like terms: 8x + -8x = 0 -13 + -13x = 13 + 0 -13 + -13x = 13 Add '13' to each side of the equation. -13 + 13 + -13x = 13 + 13 Combine like terms: -13 + 13 = 0 0 + -13x = 13 + 13 -13x = 13 + 13 Combine like terms: 13 + 13 = 26 -13x = 26 Divide each side by '-13'. x = -2 Simplifying x = -2
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