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Simplifying 5x + 1 = 4x + 7 Reorder the terms: 1 + 5x = 4x + 7 Reorder the terms: 1 + 5x = 7 + 4x Solving 1 + 5x = 7 + 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. 1 + 5x + -4x = 7 + 4x + -4x Combine like terms: 5x + -4x = 1x 1 + 1x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + 1x = 7 + 0 1 + 1x = 7 Add '-1' to each side of the equation. 1 + -1 + 1x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 7 + -1 1x = 7 + -1 Combine like terms: 7 + -1 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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