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Simplifying 1 + 5x + -40 = 7 + -1x Reorder the terms: 1 + -40 + 5x = 7 + -1x Combine like terms: 1 + -40 = -39 -39 + 5x = 7 + -1x Solving -39 + 5x = 7 + -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. -39 + 5x + x = 7 + -1x + x Combine like terms: 5x + x = 6x -39 + 6x = 7 + -1x + x Combine like terms: -1x + x = 0 -39 + 6x = 7 + 0 -39 + 6x = 7 Add '39' to each side of the equation. -39 + 39 + 6x = 7 + 39 Combine like terms: -39 + 39 = 0 0 + 6x = 7 + 39 6x = 7 + 39 Combine like terms: 7 + 39 = 46 6x = 46 Divide each side by '6'. x = 7.666666667 Simplifying x = 7.666666667
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