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Simplifying 6(5x + -7) = 46 Reorder the terms: 6(-7 + 5x) = 46 (-7 * 6 + 5x * 6) = 46 (-42 + 30x) = 46 Solving -42 + 30x = 46 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 = 46 + 42 Combine like terms: -42 + 42 = 0 0 + 30x = 46 + 42 30x = 46 + 42 Combine like terms: 46 + 42 = 88 30x = 88 Divide each side by '30'. x = 2.933333333 Simplifying x = 2.933333333
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