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Simplifying 5x + -10 = (-7x) + 1 Reorder the terms: -10 + 5x = (-7x) + 1 Reorder the terms: -10 + 5x = 1 + (-7x) Solving -10 + 5x = 1 + (-7x) Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(7x)' to each side of the equation. -10 + 5x + (7x) = 1 + (-7x) + (7x) Combine like terms: 5x + (7x) = 12x -10 + 12x = 1 + (-7x) + (7x) Combine like terms: (-7x) + (7x) = 0 -10 + 12x = 1 + 0 -10 + 12x = 1 Add '10' to each side of the equation. -10 + 10 + 12x = 1 + 10 Combine like terms: -10 + 10 = 0 0 + 12x = 1 + 10 12x = 1 + 10 Combine like terms: 1 + 10 = 11 12x = 11 Divide each side by '12'. x = 0.9166666667 Simplifying x = 0.9166666667
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