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Simplifying 102 = 6x + 2(1 + 2x) 102 = 6x + (1 * 2 + 2x * 2) 102 = 6x + (2 + 4x) Reorder the terms: 102 = 2 + 6x + 4x Combine like terms: 6x + 4x = 10x 102 = 2 + 10x Solving 102 = 2 + 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. 102 + -10x = 2 + 10x + -10x Combine like terms: 10x + -10x = 0 102 + -10x = 2 + 0 102 + -10x = 2 Add '-102' to each side of the equation. 102 + -102 + -10x = 2 + -102 Combine like terms: 102 + -102 = 0 0 + -10x = 2 + -102 -10x = 2 + -102 Combine like terms: 2 + -102 = -100 -10x = -100 Divide each side by '-10'. x = 10 Simplifying x = 10
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