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Simplifying -6x + 21 = 12x + -5 Reorder the terms: 21 + -6x = 12x + -5 Reorder the terms: 21 + -6x = -5 + 12x Solving 21 + -6x = -5 + 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. 21 + -6x + -12x = -5 + 12x + -12x Combine like terms: -6x + -12x = -18x 21 + -18x = -5 + 12x + -12x Combine like terms: 12x + -12x = 0 21 + -18x = -5 + 0 21 + -18x = -5 Add '-21' to each side of the equation. 21 + -21 + -18x = -5 + -21 Combine like terms: 21 + -21 = 0 0 + -18x = -5 + -21 -18x = -5 + -21 Combine like terms: -5 + -21 = -26 -18x = -26 Divide each side by '-18'. x = 1.444444444 Simplifying x = 1.444444444
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