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Simplifying -1x + -6 = -5x + 22 Reorder the terms: -6 + -1x = -5x + 22 Reorder the terms: -6 + -1x = 22 + -5x Solving -6 + -1x = 22 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -6 + -1x + 5x = 22 + -5x + 5x Combine like terms: -1x + 5x = 4x -6 + 4x = 22 + -5x + 5x Combine like terms: -5x + 5x = 0 -6 + 4x = 22 + 0 -6 + 4x = 22 Add '6' to each side of the equation. -6 + 6 + 4x = 22 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 22 + 6 4x = 22 + 6 Combine like terms: 22 + 6 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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