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Simplifying 2x + 2(6x + -13) = 100 Reorder the terms: 2x + 2(-13 + 6x) = 100 2x + (-13 * 2 + 6x * 2) = 100 2x + (-26 + 12x) = 100 Reorder the terms: -26 + 2x + 12x = 100 Combine like terms: 2x + 12x = 14x -26 + 14x = 100 Solving -26 + 14x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 14x = 100 + 26 Combine like terms: -26 + 26 = 0 0 + 14x = 100 + 26 14x = 100 + 26 Combine like terms: 100 + 26 = 126 14x = 126 Divide each side by '14'. x = 9 Simplifying x = 9
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