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Simplifying -5x + -21 = 3x + -10 + -2x Reorder the terms: -21 + -5x = 3x + -10 + -2x Reorder the terms: -21 + -5x = -10 + 3x + -2x Combine like terms: 3x + -2x = 1x -21 + -5x = -10 + 1x Solving -21 + -5x = -10 + 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. -21 + -5x + -1x = -10 + 1x + -1x Combine like terms: -5x + -1x = -6x -21 + -6x = -10 + 1x + -1x Combine like terms: 1x + -1x = 0 -21 + -6x = -10 + 0 -21 + -6x = -10 Add '21' to each side of the equation. -21 + 21 + -6x = -10 + 21 Combine like terms: -21 + 21 = 0 0 + -6x = -10 + 21 -6x = -10 + 21 Combine like terms: -10 + 21 = 11 -6x = 11 Divide each side by '-6'. x = -1.833333333 Simplifying x = -1.833333333
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