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