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Simplifying 83 + -6x = 12x + 17 Reorder the terms: 83 + -6x = 17 + 12x Solving 83 + -6x = 17 + 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 = 17 + 12x + -12x Combine like terms: -6x + -12x = -18x 83 + -18x = 17 + 12x + -12x Combine like terms: 12x + -12x = 0 83 + -18x = 17 + 0 83 + -18x = 17 Add '-83' to each side of the equation. 83 + -83 + -18x = 17 + -83 Combine like terms: 83 + -83 = 0 0 + -18x = 17 + -83 -18x = 17 + -83 Combine like terms: 17 + -83 = -66 -18x = -66 Divide each side by '-18'. x = 3.666666667 Simplifying x = 3.666666667
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