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Simplifying -45 + 2x = 18 + -5x Solving -45 + 2x = 18 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -45 + 2x + 5x = 18 + -5x + 5x Combine like terms: 2x + 5x = 7x -45 + 7x = 18 + -5x + 5x Combine like terms: -5x + 5x = 0 -45 + 7x = 18 + 0 -45 + 7x = 18 Add '45' to each side of the equation. -45 + 45 + 7x = 18 + 45 Combine like terms: -45 + 45 = 0 0 + 7x = 18 + 45 7x = 18 + 45 Combine like terms: 18 + 45 = 63 7x = 63 Divide each side by '7'. x = 9 Simplifying x = 9
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