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Simplifying 6x + -21 = 12x + -16 Reorder the terms: -21 + 6x = 12x + -16 Reorder the terms: -21 + 6x = -16 + 12x Solving -21 + 6x = -16 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -21 + 6x + -12x = -16 + 12x + -12x Combine like terms: 6x + -12x = -6x -21 + -6x = -16 + 12x + -12x Combine like terms: 12x + -12x = 0 -21 + -6x = -16 + 0 -21 + -6x = -16 Add '21' to each side of the equation. -21 + 21 + -6x = -16 + 21 Combine like terms: -21 + 21 = 0 0 + -6x = -16 + 21 -6x = -16 + 21 Combine like terms: -16 + 21 = 5 -6x = 5 Divide each side by '-6'. x = -0.8333333333 Simplifying x = -0.8333333333
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