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Simplifying 4 + -21 = 3x + -5 + -2x Combine like terms: 4 + -21 = -17 -17 = 3x + -5 + -2x Reorder the terms: -17 = -5 + 3x + -2x Combine like terms: 3x + -2x = 1x -17 = -5 + 1x Solving -17 = -5 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -17 + -1x = -5 + 1x + -1x Combine like terms: 1x + -1x = 0 -17 + -1x = -5 + 0 -17 + -1x = -5 Add '17' to each side of the equation. -17 + 17 + -1x = -5 + 17 Combine like terms: -17 + 17 = 0 0 + -1x = -5 + 17 -1x = -5 + 17 Combine like terms: -5 + 17 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12

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