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Simplifying 45 + -6x = 12x + 21 Reorder the terms: 45 + -6x = 21 + 12x Solving 45 + -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. 45 + -6x + -12x = 21 + 12x + -12x Combine like terms: -6x + -12x = -18x 45 + -18x = 21 + 12x + -12x Combine like terms: 12x + -12x = 0 45 + -18x = 21 + 0 45 + -18x = 21 Add '-45' to each side of the equation. 45 + -45 + -18x = 21 + -45 Combine like terms: 45 + -45 = 0 0 + -18x = 21 + -45 -18x = 21 + -45 Combine like terms: 21 + -45 = -24 -18x = -24 Divide each side by '-18'. x = 1.333333333 Simplifying x = 1.333333333
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