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Simplifying 102 + -6x = 12x + 22 Reorder the terms: 102 + -6x = 22 + 12x Solving 102 + -6x = 22 + 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. 102 + -6x + -12x = 22 + 12x + -12x Combine like terms: -6x + -12x = -18x 102 + -18x = 22 + 12x + -12x Combine like terms: 12x + -12x = 0 102 + -18x = 22 + 0 102 + -18x = 22 Add '-102' to each side of the equation. 102 + -102 + -18x = 22 + -102 Combine like terms: 102 + -102 = 0 0 + -18x = 22 + -102 -18x = 22 + -102 Combine like terms: 22 + -102 = -80 -18x = -80 Divide each side by '-18'. x = 4.444444444 Simplifying x = 4.444444444
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