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Simplifying -21 + -5x = 3x + 12 Reorder the terms: -21 + -5x = 12 + 3x Solving -21 + -5x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -21 + -5x + -3x = 12 + 3x + -3x Combine like terms: -5x + -3x = -8x -21 + -8x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -21 + -8x = 12 + 0 -21 + -8x = 12 Add '21' to each side of the equation. -21 + 21 + -8x = 12 + 21 Combine like terms: -21 + 21 = 0 0 + -8x = 12 + 21 -8x = 12 + 21 Combine like terms: 12 + 21 = 33 -8x = 33 Divide each side by '-8'. x = -4.125 Simplifying x = -4.125
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