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Simplifying 7x + 1 = 4x + 1 Reorder the terms: 1 + 7x = 4x + 1 Reorder the terms: 1 + 7x = 1 + 4x Add '-1' to each side of the equation. 1 + -1 + 7x = 1 + -1 + 4x Combine like terms: 1 + -1 = 0 0 + 7x = 1 + -1 + 4x 7x = 1 + -1 + 4x Combine like terms: 1 + -1 = 0 7x = 0 + 4x 7x = 4x Solving 7x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 7x + -4x = 4x + -4x Combine like terms: 7x + -4x = 3x 3x = 4x + -4x Combine like terms: 4x + -4x = 0 3x = 0 Divide each side by '3'. x = 0 Simplifying x = 0
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