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Simplifying 6x + 7(2x + -14) = 122 Reorder the terms: 6x + 7(-14 + 2x) = 122 6x + (-14 * 7 + 2x * 7) = 122 6x + (-98 + 14x) = 122 Reorder the terms: -98 + 6x + 14x = 122 Combine like terms: 6x + 14x = 20x -98 + 20x = 122 Solving -98 + 20x = 122 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '98' to each side of the equation. -98 + 98 + 20x = 122 + 98 Combine like terms: -98 + 98 = 0 0 + 20x = 122 + 98 20x = 122 + 98 Combine like terms: 122 + 98 = 220 20x = 220 Divide each side by '20'. x = 11 Simplifying x = 11
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