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Simplifying -34 + -3x = 5x + 13 Reorder the terms: -34 + -3x = 13 + 5x Solving -34 + -3x = 13 + 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. -34 + -3x + -5x = 13 + 5x + -5x Combine like terms: -3x + -5x = -8x -34 + -8x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 -34 + -8x = 13 + 0 -34 + -8x = 13 Add '34' to each side of the equation. -34 + 34 + -8x = 13 + 34 Combine like terms: -34 + 34 = 0 0 + -8x = 13 + 34 -8x = 13 + 34 Combine like terms: 13 + 34 = 47 -8x = 47 Divide each side by '-8'. x = -5.875 Simplifying x = -5.875
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