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Simplifying 5x + 9 = x + 1 Reorder the terms: 9 + 5x = x + 1 Reorder the terms: 9 + 5x = 1 + x Solving 9 + 5x = 1 + 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. 9 + 5x + -1x = 1 + x + -1x Combine like terms: 5x + -1x = 4x 9 + 4x = 1 + x + -1x Combine like terms: x + -1x = 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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