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Simplifying 2x + 7 = 7(7x + 1) Reorder the terms: 7 + 2x = 7(7x + 1) Reorder the terms: 7 + 2x = 7(1 + 7x) 7 + 2x = (1 * 7 + 7x * 7) 7 + 2x = (7 + 49x) Add '-7' to each side of the equation. 7 + -7 + 2x = 7 + -7 + 49x Combine like terms: 7 + -7 = 0 0 + 2x = 7 + -7 + 49x 2x = 7 + -7 + 49x Combine like terms: 7 + -7 = 0 2x = 0 + 49x 2x = 49x Solving 2x = 49x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49x' to each side of the equation. 2x + -49x = 49x + -49x Combine like terms: 2x + -49x = -47x -47x = 49x + -49x Combine like terms: 49x + -49x = 0 -47x = 0 Divide each side by '-47'. x = 0 Simplifying x = 0
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