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Simplifying 5x + -1 = 2x + -6x + 1 Reorder the terms: -1 + 5x = 2x + -6x + 1 Reorder the terms: -1 + 5x = 1 + 2x + -6x Combine like terms: 2x + -6x = -4x -1 + 5x = 1 + -4x Solving -1 + 5x = 1 + -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 + 5x + 4x = 1 + -4x + 4x Combine like terms: 5x + 4x = 9x -1 + 9x = 1 + -4x + 4x Combine like terms: -4x + 4x = 0 -1 + 9x = 1 + 0 -1 + 9x = 1 Add '1' to each side of the equation. -1 + 1 + 9x = 1 + 1 Combine like terms: -1 + 1 = 0 0 + 9x = 1 + 1 9x = 1 + 1 Combine like terms: 1 + 1 = 2 9x = 2 Divide each side by '9'. x = 0.2222222222 Simplifying x = 0.2222222222
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