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Simplifying 30 = 2(2x + 6) + 2x Reorder the terms: 30 = 2(6 + 2x) + 2x 30 = (6 * 2 + 2x * 2) + 2x 30 = (12 + 4x) + 2x Combine like terms: 4x + 2x = 6x 30 = 12 + 6x Solving 30 = 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. 30 + -6x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 30 + -6x = 12 + 0 30 + -6x = 12 Add '-30' to each side of the equation. 30 + -30 + -6x = 12 + -30 Combine like terms: 30 + -30 = 0 0 + -6x = 12 + -30 -6x = 12 + -30 Combine like terms: 12 + -30 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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