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Simplifying 105 + -6x = 12x + 21 Reorder the terms: 105 + -6x = 21 + 12x Solving 105 + -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. 105 + -6x + -12x = 21 + 12x + -12x Combine like terms: -6x + -12x = -18x 105 + -18x = 21 + 12x + -12x Combine like terms: 12x + -12x = 0 105 + -18x = 21 + 0 105 + -18x = 21 Add '-105' to each side of the equation. 105 + -105 + -18x = 21 + -105 Combine like terms: 105 + -105 = 0 0 + -18x = 21 + -105 -18x = 21 + -105 Combine like terms: 21 + -105 = -84 -18x = -84 Divide each side by '-18'. x = 4.666666667 Simplifying x = 4.666666667
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