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Simplifying 3x + -5 = -34 + -10x Reorder the terms: -5 + 3x = -34 + -10x Solving -5 + 3x = -34 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -5 + 3x + 10x = -34 + -10x + 10x Combine like terms: 3x + 10x = 13x -5 + 13x = -34 + -10x + 10x Combine like terms: -10x + 10x = 0 -5 + 13x = -34 + 0 -5 + 13x = -34 Add '5' to each side of the equation. -5 + 5 + 13x = -34 + 5 Combine like terms: -5 + 5 = 0 0 + 13x = -34 + 5 13x = -34 + 5 Combine like terms: -34 + 5 = -29 13x = -29 Divide each side by '13'. x = -2.230769231 Simplifying x = -2.230769231
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