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Simplifying 101 + -6x = 12x + 21 Reorder the terms: 101 + -6x = 21 + 12x Solving 101 + -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. 101 + -6x + -12x = 21 + 12x + -12x Combine like terms: -6x + -12x = -18x 101 + -18x = 21 + 12x + -12x Combine like terms: 12x + -12x = 0 101 + -18x = 21 + 0 101 + -18x = 21 Add '-101' to each side of the equation. 101 + -101 + -18x = 21 + -101 Combine like terms: 101 + -101 = 0 0 + -18x = 21 + -101 -18x = 21 + -101 Combine like terms: 21 + -101 = -80 -18x = -80 Divide each side by '-18'. x = 4.444444444 Simplifying x = 4.444444444
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