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Simplifying 6x + -102 = 54 + 12x Reorder the terms: -102 + 6x = 54 + 12x Solving -102 + 6x = 54 + 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. -102 + 6x + -12x = 54 + 12x + -12x Combine like terms: 6x + -12x = -6x -102 + -6x = 54 + 12x + -12x Combine like terms: 12x + -12x = 0 -102 + -6x = 54 + 0 -102 + -6x = 54 Add '102' to each side of the equation. -102 + 102 + -6x = 54 + 102 Combine like terms: -102 + 102 = 0 0 + -6x = 54 + 102 -6x = 54 + 102 Combine like terms: 54 + 102 = 156 -6x = 156 Divide each side by '-6'. x = -26 Simplifying x = -26
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