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Simplifying 5(6x + 7) + 7 = (-138) Reorder the terms: 5(7 + 6x) + 7 = (-138) (7 * 5 + 6x * 5) + 7 = (-138) (35 + 30x) + 7 = (-138) Reorder the terms: 35 + 7 + 30x = (-138) Combine like terms: 35 + 7 = 42 42 + 30x = (-138) 42 + 30x = -138 Solving 42 + 30x = -138 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 30x = -138 + -42 Combine like terms: 42 + -42 = 0 0 + 30x = -138 + -42 30x = -138 + -42 Combine like terms: -138 + -42 = -180 30x = -180 Divide each side by '30'. x = -6 Simplifying x = -6
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