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Simplifying -34 = x + 42 + -5x Reorder the terms: -34 = 42 + x + -5x Combine like terms: x + -5x = -4x -34 = 42 + -4x Solving -34 = 42 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -34 + 4x = 42 + -4x + 4x Combine like terms: -4x + 4x = 0 -34 + 4x = 42 + 0 -34 + 4x = 42 Add '34' to each side of the equation. -34 + 34 + 4x = 42 + 34 Combine like terms: -34 + 34 = 0 0 + 4x = 42 + 34 4x = 42 + 34 Combine like terms: 42 + 34 = 76 4x = 76 Divide each side by '4'. x = 19 Simplifying x = 19
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