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Simplifying 2x + 6 = 102 + -10x Reorder the terms: 6 + 2x = 102 + -10x Solving 6 + 2x = 102 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 6 + 2x + 10x = 102 + -10x + 10x Combine like terms: 2x + 10x = 12x 6 + 12x = 102 + -10x + 10x Combine like terms: -10x + 10x = 0 6 + 12x = 102 + 0 6 + 12x = 102 Add '-6' to each side of the equation. 6 + -6 + 12x = 102 + -6 Combine like terms: 6 + -6 = 0 0 + 12x = 102 + -6 12x = 102 + -6 Combine like terms: 102 + -6 = 96 12x = 96 Divide each side by '12'. x = 8 Simplifying x = 8
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