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Simplifying 10x + -1 = 58 + (5x + -9) Reorder the terms: -1 + 10x = 58 + (5x + -9) Reorder the terms: -1 + 10x = 58 + (-9 + 5x) Remove parenthesis around (-9 + 5x) -1 + 10x = 58 + -9 + 5x Combine like terms: 58 + -9 = 49 -1 + 10x = 49 + 5x Solving -1 + 10x = 49 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -1 + 10x + -5x = 49 + 5x + -5x Combine like terms: 10x + -5x = 5x -1 + 5x = 49 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + 5x = 49 + 0 -1 + 5x = 49 Add '1' to each side of the equation. -1 + 1 + 5x = 49 + 1 Combine like terms: -1 + 1 = 0 0 + 5x = 49 + 1 5x = 49 + 1 Combine like terms: 49 + 1 = 50 5x = 50 Divide each side by '5'. x = 10 Simplifying x = 10
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