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Simplifying x + 21 + 4x = -46 + -4x + -50 Reorder the terms: 21 + x + 4x = -46 + -4x + -50 Combine like terms: x + 4x = 5x 21 + 5x = -46 + -4x + -50 Reorder the terms: 21 + 5x = -46 + -50 + -4x Combine like terms: -46 + -50 = -96 21 + 5x = -96 + -4x Solving 21 + 5x = -96 + -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. 21 + 5x + 4x = -96 + -4x + 4x Combine like terms: 5x + 4x = 9x 21 + 9x = -96 + -4x + 4x Combine like terms: -4x + 4x = 0 21 + 9x = -96 + 0 21 + 9x = -96 Add '-21' to each side of the equation. 21 + -21 + 9x = -96 + -21 Combine like terms: 21 + -21 = 0 0 + 9x = -96 + -21 9x = -96 + -21 Combine like terms: -96 + -21 = -117 9x = -117 Divide each side by '9'. x = -13 Simplifying x = -13
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