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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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