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Simplifying -6x + -12 = 5x + 21 Reorder the terms: -12 + -6x = 5x + 21 Reorder the terms: -12 + -6x = 21 + 5x Solving -12 + -6x = 21 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + -6x + -5x = 21 + 5x + -5x Combine like terms: -6x + -5x = -11x -12 + -11x = 21 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + -11x = 21 + 0 -12 + -11x = 21 Add '12' to each side of the equation. -12 + 12 + -11x = 21 + 12 Combine like terms: -12 + 12 = 0 0 + -11x = 21 + 12 -11x = 21 + 12 Combine like terms: 21 + 12 = 33 -11x = 33 Divide each side by '-11'. x = -3 Simplifying x = -3
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