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Simplifying 5x + 1 = x + 9 Reorder the terms: 1 + 5x = x + 9 Reorder the terms: 1 + 5x = 9 + x Solving 1 + 5x = 9 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1 + 5x + -1x = 9 + x + -1x Combine like terms: 5x + -1x = 4x 1 + 4x = 9 + x + -1x Combine like terms: x + -1x = 0 1 + 4x = 9 + 0 1 + 4x = 9 Add '-1' to each side of the equation. 1 + -1 + 4x = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 9 + -1 4x = 9 + -1 Combine like terms: 9 + -1 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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