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Simplifying 5(6 + x) = 7(2 + -4) (6 * 5 + x * 5) = 7(2 + -4) (30 + 5x) = 7(2 + -4) Combine like terms: 2 + -4 = -2 30 + 5x = 7(-2) Multiply 7 * -2 30 + 5x = -14 Solving 30 + 5x = -14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 5x = -14 + -30 Combine like terms: 30 + -30 = 0 0 + 5x = -14 + -30 5x = -14 + -30 Combine like terms: -14 + -30 = -44 5x = -44 Divide each side by '5'. x = -8.8 Simplifying x = -8.8
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