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Simplifying 84 = 2(2x + 6) + 2x Reorder the terms: 84 = 2(6 + 2x) + 2x 84 = (6 * 2 + 2x * 2) + 2x 84 = (12 + 4x) + 2x Combine like terms: 4x + 2x = 6x 84 = 12 + 6x Solving 84 = 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. 84 + -6x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 84 + -6x = 12 + 0 84 + -6x = 12 Add '-84' to each side of the equation. 84 + -84 + -6x = 12 + -84 Combine like terms: 84 + -84 = 0 0 + -6x = 12 + -84 -6x = 12 + -84 Combine like terms: 12 + -84 = -72 -6x = -72 Divide each side by '-6'. x = 12 Simplifying x = 12
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