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Simplifying -10 + 7x = 2x + 45 Reorder the terms: -10 + 7x = 45 + 2x Solving -10 + 7x = 45 + 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. -10 + 7x + -2x = 45 + 2x + -2x Combine like terms: 7x + -2x = 5x -10 + 5x = 45 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 5x = 45 + 0 -10 + 5x = 45 Add '10' to each side of the equation. -10 + 10 + 5x = 45 + 10 Combine like terms: -10 + 10 = 0 0 + 5x = 45 + 10 5x = 45 + 10 Combine like terms: 45 + 10 = 55 5x = 55 Divide each side by '5'. x = 11 Simplifying x = 11
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