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Simplifying 12 + -12x = 6x + 45 Reorder the terms: 12 + -12x = 45 + 6x Solving 12 + -12x = 45 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + -12x + -6x = 45 + 6x + -6x Combine like terms: -12x + -6x = -18x 12 + -18x = 45 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -18x = 45 + 0 12 + -18x = 45 Add '-12' to each side of the equation. 12 + -12 + -18x = 45 + -12 Combine like terms: 12 + -12 = 0 0 + -18x = 45 + -12 -18x = 45 + -12 Combine like terms: 45 + -12 = 33 -18x = 33 Divide each side by '-18'. x = -1.833333333 Simplifying x = -1.833333333
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