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Simplifying 8x + 13 = -5x + -19 Reorder the terms: 13 + 8x = -5x + -19 Reorder the terms: 13 + 8x = -19 + -5x Solving 13 + 8x = -19 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 13 + 8x + 5x = -19 + -5x + 5x Combine like terms: 8x + 5x = 13x 13 + 13x = -19 + -5x + 5x Combine like terms: -5x + 5x = 0 13 + 13x = -19 + 0 13 + 13x = -19 Add '-13' to each side of the equation. 13 + -13 + 13x = -19 + -13 Combine like terms: 13 + -13 = 0 0 + 13x = -19 + -13 13x = -19 + -13 Combine like terms: -19 + -13 = -32 13x = -32 Divide each side by '13'. x = -2.461538462 Simplifying x = -2.461538462
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