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Simplifying -13x + -34 = 2x + 41 Reorder the terms: -34 + -13x = 2x + 41 Reorder the terms: -34 + -13x = 41 + 2x Solving -34 + -13x = 41 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -34 + -13x + -2x = 41 + 2x + -2x Combine like terms: -13x + -2x = -15x -34 + -15x = 41 + 2x + -2x Combine like terms: 2x + -2x = 0 -34 + -15x = 41 + 0 -34 + -15x = 41 Add '34' to each side of the equation. -34 + 34 + -15x = 41 + 34 Combine like terms: -34 + 34 = 0 0 + -15x = 41 + 34 -15x = 41 + 34 Combine like terms: 41 + 34 = 75 -15x = 75 Divide each side by '-15'. x = -5 Simplifying x = -5
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