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Simplifying -122 = 2x + -7(-3x + -22) Reorder the terms: -122 = 2x + -7(-22 + -3x) -122 = 2x + (-22 * -7 + -3x * -7) -122 = 2x + (154 + 21x) Reorder the terms: -122 = 154 + 2x + 21x Combine like terms: 2x + 21x = 23x -122 = 154 + 23x Solving -122 = 154 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. -122 + -23x = 154 + 23x + -23x Combine like terms: 23x + -23x = 0 -122 + -23x = 154 + 0 -122 + -23x = 154 Add '122' to each side of the equation. -122 + 122 + -23x = 154 + 122 Combine like terms: -122 + 122 = 0 0 + -23x = 154 + 122 -23x = 154 + 122 Combine like terms: 154 + 122 = 276 -23x = 276 Divide each side by '-23'. x = -12 Simplifying x = -12
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