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Simplifying 83 + -6x = 12x + 21 Reorder the terms: 83 + -6x = 21 + 12x Solving 83 + -6x = 21 + 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. 83 + -6x + -12x = 21 + 12x + -12x Combine like terms: -6x + -12x = -18x 83 + -18x = 21 + 12x + -12x Combine like terms: 12x + -12x = 0 83 + -18x = 21 + 0 83 + -18x = 21 Add '-83' to each side of the equation. 83 + -83 + -18x = 21 + -83 Combine like terms: 83 + -83 = 0 0 + -18x = 21 + -83 -18x = 21 + -83 Combine like terms: 21 + -83 = -62 -18x = -62 Divide each side by '-18'. x = 3.444444444 Simplifying x = 3.444444444
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