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Simplifying x + -1 = -4x + 34 Reorder the terms: -1 + x = -4x + 34 Reorder the terms: -1 + x = 34 + -4x Solving -1 + x = 34 + -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. -1 + x + 4x = 34 + -4x + 4x Combine like terms: x + 4x = 5x -1 + 5x = 34 + -4x + 4x Combine like terms: -4x + 4x = 0 -1 + 5x = 34 + 0 -1 + 5x = 34 Add '1' to each side of the equation. -1 + 1 + 5x = 34 + 1 Combine like terms: -1 + 1 = 0 0 + 5x = 34 + 1 5x = 34 + 1 Combine like terms: 34 + 1 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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