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Simplifying 78 = 6(2x + 1) Reorder the terms: 78 = 6(1 + 2x) 78 = (1 * 6 + 2x * 6) 78 = (6 + 12x) Solving 78 = 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. 78 + -12x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 78 + -12x = 6 + 0 78 + -12x = 6 Add '-78' to each side of the equation. 78 + -78 + -12x = 6 + -78 Combine like terms: 78 + -78 = 0 0 + -12x = 6 + -78 -12x = 6 + -78 Combine like terms: 6 + -78 = -72 -12x = -72 Divide each side by '-12'. x = 6 Simplifying x = 6
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