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Simplifying 122 = 2x + 2(6x + -16) Reorder the terms: 122 = 2x + 2(-16 + 6x) 122 = 2x + (-16 * 2 + 6x * 2) 122 = 2x + (-32 + 12x) Reorder the terms: 122 = -32 + 2x + 12x Combine like terms: 2x + 12x = 14x 122 = -32 + 14x Solving 122 = -32 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 122 + -14x = -32 + 14x + -14x Combine like terms: 14x + -14x = 0 122 + -14x = -32 + 0 122 + -14x = -32 Add '-122' to each side of the equation. 122 + -122 + -14x = -32 + -122 Combine like terms: 122 + -122 = 0 0 + -14x = -32 + -122 -14x = -32 + -122 Combine like terms: -32 + -122 = -154 -14x = -154 Divide each side by '-14'. x = 11 Simplifying x = 11
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