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