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Simplifying 7 + -5x = x + 7(1 + 7x) 7 + -5x = x + (1 * 7 + 7x * 7) 7 + -5x = x + (7 + 49x) Reorder the terms: 7 + -5x = 7 + x + 49x Combine like terms: x + 49x = 50x 7 + -5x = 7 + 50x Add '-7' to each side of the equation. 7 + -7 + -5x = 7 + -7 + 50x Combine like terms: 7 + -7 = 0 0 + -5x = 7 + -7 + 50x -5x = 7 + -7 + 50x Combine like terms: 7 + -7 = 0 -5x = 0 + 50x -5x = 50x Solving -5x = 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. -5x + -50x = 50x + -50x Combine like terms: -5x + -50x = -55x -55x = 50x + -50x Combine like terms: 50x + -50x = 0 -55x = 0 Divide each side by '-55'. x = 0 Simplifying x = 0
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