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Simplifying -58 + 5x = -2x + 47 Reorder the terms: -58 + 5x = 47 + -2x Solving -58 + 5x = 47 + -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. -58 + 5x + 2x = 47 + -2x + 2x Combine like terms: 5x + 2x = 7x -58 + 7x = 47 + -2x + 2x Combine like terms: -2x + 2x = 0 -58 + 7x = 47 + 0 -58 + 7x = 47 Add '58' to each side of the equation. -58 + 58 + 7x = 47 + 58 Combine like terms: -58 + 58 = 0 0 + 7x = 47 + 58 7x = 47 + 58 Combine like terms: 47 + 58 = 105 7x = 105 Divide each side by '7'. x = 15 Simplifying x = 15
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