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Simplifying 7(2x + -5) = 46 Reorder the terms: 7(-5 + 2x) = 46 (-5 * 7 + 2x * 7) = 46 (-35 + 14x) = 46 Solving -35 + 14x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 14x = 46 + 35 Combine like terms: -35 + 35 = 0 0 + 14x = 46 + 35 14x = 46 + 35 Combine like terms: 46 + 35 = 81 14x = 81 Divide each side by '14'. x = 5.785714286 Simplifying x = 5.785714286
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