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Simplifying -122 = 6x + -2(-3x + 7) Reorder the terms: -122 = 6x + -2(7 + -3x) -122 = 6x + (7 * -2 + -3x * -2) -122 = 6x + (-14 + 6x) Reorder the terms: -122 = -14 + 6x + 6x Combine like terms: 6x + 6x = 12x -122 = -14 + 12x Solving -122 = -14 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -122 + -12x = -14 + 12x + -12x Combine like terms: 12x + -12x = 0 -122 + -12x = -14 + 0 -122 + -12x = -14 Add '122' to each side of the equation. -122 + 122 + -12x = -14 + 122 Combine like terms: -122 + 122 = 0 0 + -12x = -14 + 122 -12x = -14 + 122 Combine like terms: -14 + 122 = 108 -12x = 108 Divide each side by '-12'. x = -9 Simplifying x = -9
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