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Simplifying x + -1 = x + 5x + 9 Reorder the terms: -1 + x = x + 5x + 9 Reorder the terms: -1 + x = 9 + x + 5x Combine like terms: x + 5x = 6x -1 + x = 9 + 6x Solving -1 + x = 9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -1 + x + -6x = 9 + 6x + -6x Combine like terms: x + -6x = -5x -1 + -5x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + -5x = 9 + 0 -1 + -5x = 9 Add '1' to each side of the equation. -1 + 1 + -5x = 9 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 9 + 1 -5x = 9 + 1 Combine like terms: 9 + 1 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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