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Simplifying 100 = 2(6x + 8) Reorder the terms: 100 = 2(8 + 6x) 100 = (8 * 2 + 6x * 2) 100 = (16 + 12x) Solving 100 = 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. 100 + -12x = 16 + 12x + -12x Combine like terms: 12x + -12x = 0 100 + -12x = 16 + 0 100 + -12x = 16 Add '-100' to each side of the equation. 100 + -100 + -12x = 16 + -100 Combine like terms: 100 + -100 = 0 0 + -12x = 16 + -100 -12x = 16 + -100 Combine like terms: 16 + -100 = -84 -12x = -84 Divide each side by '-12'. x = 7 Simplifying x = 7
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