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Simplifying 122 = 7 + 5(-6x + -7) Reorder the terms: 122 = 7 + 5(-7 + -6x) 122 = 7 + (-7 * 5 + -6x * 5) 122 = 7 + (-35 + -30x) Combine like terms: 7 + -35 = -28 122 = -28 + -30x Solving 122 = -28 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 122 + 30x = -28 + -30x + 30x Combine like terms: -30x + 30x = 0 122 + 30x = -28 + 0 122 + 30x = -28 Add '-122' to each side of the equation. 122 + -122 + 30x = -28 + -122 Combine like terms: 122 + -122 = 0 0 + 30x = -28 + -122 30x = -28 + -122 Combine like terms: -28 + -122 = -150 30x = -150 Divide each side by '30'. x = -5 Simplifying x = -5
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