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Simplifying -1x + -21 = 4x + 14 Reorder the terms: -21 + -1x = 4x + 14 Reorder the terms: -21 + -1x = 14 + 4x Solving -21 + -1x = 14 + 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 + -1x + -4x = 14 + 4x + -4x Combine like terms: -1x + -4x = -5x -21 + -5x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 -21 + -5x = 14 + 0 -21 + -5x = 14 Add '21' to each side of the equation. -21 + 21 + -5x = 14 + 21 Combine like terms: -21 + 21 = 0 0 + -5x = 14 + 21 -5x = 14 + 21 Combine like terms: 14 + 21 = 35 -5x = 35 Divide each side by '-5'. x = -7 Simplifying x = -7
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