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Simplifying 5 + -1x + -22 = 4x + -11 + -6x Reorder the terms: 5 + -22 + -1x = 4x + -11 + -6x Combine like terms: 5 + -22 = -17 -17 + -1x = 4x + -11 + -6x Reorder the terms: -17 + -1x = -11 + 4x + -6x Combine like terms: 4x + -6x = -2x -17 + -1x = -11 + -2x Solving -17 + -1x = -11 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -17 + -1x + 2x = -11 + -2x + 2x Combine like terms: -1x + 2x = 1x -17 + 1x = -11 + -2x + 2x Combine like terms: -2x + 2x = 0 -17 + 1x = -11 + 0 -17 + 1x = -11 Add '17' to each side of the equation. -17 + 17 + 1x = -11 + 17 Combine like terms: -17 + 17 = 0 0 + 1x = -11 + 17 1x = -11 + 17 Combine like terms: -11 + 17 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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