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Simplifying 78 = 2(6 + 2x) + 2x 78 = (6 * 2 + 2x * 2) + 2x 78 = (12 + 4x) + 2x Combine like terms: 4x + 2x = 6x 78 = 12 + 6x Solving 78 = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 78 + -6x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 78 + -6x = 12 + 0 78 + -6x = 12 Add '-78' to each side of the equation. 78 + -78 + -6x = 12 + -78 Combine like terms: 78 + -78 = 0 0 + -6x = 12 + -78 -6x = 12 + -78 Combine like terms: 12 + -78 = -66 -6x = -66 Divide each side by '-6'. x = 11 Simplifying x = 11
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