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Simplifying 5x + -45 = 46 + -2x Reorder the terms: -45 + 5x = 46 + -2x Solving -45 + 5x = 46 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -45 + 5x + 2x = 46 + -2x + 2x Combine like terms: 5x + 2x = 7x -45 + 7x = 46 + -2x + 2x Combine like terms: -2x + 2x = 0 -45 + 7x = 46 + 0 -45 + 7x = 46 Add '45' to each side of the equation. -45 + 45 + 7x = 46 + 45 Combine like terms: -45 + 45 = 0 0 + 7x = 46 + 45 7x = 46 + 45 Combine like terms: 46 + 45 = 91 7x = 91 Divide each side by '7'. x = 13 Simplifying x = 13
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