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Simplifying x + 9 = 4x + 1 Reorder the terms: 9 + x = 4x + 1 Reorder the terms: 9 + x = 1 + 4x Solving 9 + x = 1 + 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. 9 + x + -4x = 1 + 4x + -4x Combine like terms: x + -4x = -3x 9 + -3x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + -3x = 1 + 0 9 + -3x = 1 Add '-9' to each side of the equation. 9 + -9 + -3x = 1 + -9 Combine like terms: 9 + -9 = 0 0 + -3x = 1 + -9 -3x = 1 + -9 Combine like terms: 1 + -9 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667
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