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Simplifying 3x + 102 = 12x + -6 Reorder the terms: 102 + 3x = 12x + -6 Reorder the terms: 102 + 3x = -6 + 12x Solving 102 + 3x = -6 + 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 + 3x + -12x = -6 + 12x + -12x Combine like terms: 3x + -12x = -9x 102 + -9x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 102 + -9x = -6 + 0 102 + -9x = -6 Add '-102' to each side of the equation. 102 + -102 + -9x = -6 + -102 Combine like terms: 102 + -102 = 0 0 + -9x = -6 + -102 -9x = -6 + -102 Combine like terms: -6 + -102 = -108 -9x = -108 Divide each side by '-9'. x = 12 Simplifying x = 12
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