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Simplifying 78 + -6x = 12x + 16 Reorder the terms: 78 + -6x = 16 + 12x Solving 78 + -6x = 16 + 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. 78 + -6x + -12x = 16 + 12x + -12x Combine like terms: -6x + -12x = -18x 78 + -18x = 16 + 12x + -12x Combine like terms: 12x + -12x = 0 78 + -18x = 16 + 0 78 + -18x = 16 Add '-78' to each side of the equation. 78 + -78 + -18x = 16 + -78 Combine like terms: 78 + -78 = 0 0 + -18x = 16 + -78 -18x = 16 + -78 Combine like terms: 16 + -78 = -62 -18x = -62 Divide each side by '-18'. x = 3.444444444 Simplifying x = 3.444444444
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