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Simplifying 2x + -17 + -1x = 4x + -22 + -2x + 4 + 2 Reorder the terms: -17 + 2x + -1x = 4x + -22 + -2x + 4 + 2 Combine like terms: 2x + -1x = 1x -17 + 1x = 4x + -22 + -2x + 4 + 2 Reorder the terms: -17 + 1x = -22 + 4 + 2 + 4x + -2x Combine like terms: -22 + 4 = -18 -17 + 1x = -18 + 2 + 4x + -2x Combine like terms: -18 + 2 = -16 -17 + 1x = -16 + 4x + -2x Combine like terms: 4x + -2x = 2x -17 + 1x = -16 + 2x Solving -17 + 1x = -16 + 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 = -16 + 2x + -2x Combine like terms: 1x + -2x = -1x -17 + -1x = -16 + 2x + -2x Combine like terms: 2x + -2x = 0 -17 + -1x = -16 + 0 -17 + -1x = -16 Add '17' to each side of the equation. -17 + 17 + -1x = -16 + 17 Combine like terms: -17 + 17 = 0 0 + -1x = -16 + 17 -1x = -16 + 17 Combine like terms: -16 + 17 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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