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Simplifying 10x + -13 = 58 + -2x Reorder the terms: -13 + 10x = 58 + -2x Solving -13 + 10x = 58 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -13 + 10x + 2x = 58 + -2x + 2x Combine like terms: 10x + 2x = 12x -13 + 12x = 58 + -2x + 2x Combine like terms: -2x + 2x = 0 -13 + 12x = 58 + 0 -13 + 12x = 58 Add '13' to each side of the equation. -13 + 13 + 12x = 58 + 13 Combine like terms: -13 + 13 = 0 0 + 12x = 58 + 13 12x = 58 + 13 Combine like terms: 58 + 13 = 71 12x = 71 Divide each side by '12'. x = 5.916666667 Simplifying x = 5.916666667
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