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Simplifying 2x + 6(2x + -7) = 84 Reorder the terms: 2x + 6(-7 + 2x) = 84 2x + (-7 * 6 + 2x * 6) = 84 2x + (-42 + 12x) = 84 Reorder the terms: -42 + 2x + 12x = 84 Combine like terms: 2x + 12x = 14x -42 + 14x = 84 Solving -42 + 14x = 84 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 14x = 84 + 42 Combine like terms: -42 + 42 = 0 0 + 14x = 84 + 42 14x = 84 + 42 Combine like terms: 84 + 42 = 126 14x = 126 Divide each side by '14'. x = 9 Simplifying x = 9
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