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Simplifying 5x + -9 = 4 + -1x + 1 Reorder the terms: -9 + 5x = 4 + -1x + 1 Reorder the terms: -9 + 5x = 4 + 1 + -1x Combine like terms: 4 + 1 = 5 -9 + 5x = 5 + -1x Solving -9 + 5x = 5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -9 + 5x + x = 5 + -1x + x Combine like terms: 5x + x = 6x -9 + 6x = 5 + -1x + x Combine like terms: -1x + x = 0 -9 + 6x = 5 + 0 -9 + 6x = 5 Add '9' to each side of the equation. -9 + 9 + 6x = 5 + 9 Combine like terms: -9 + 9 = 0 0 + 6x = 5 + 9 6x = 5 + 9 Combine like terms: 5 + 9 = 14 6x = 14 Divide each side by '6'. x = 2.333333333 Simplifying x = 2.333333333
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