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Simplifying -1x + -58 = -6x + 47 Reorder the terms: -58 + -1x = -6x + 47 Reorder the terms: -58 + -1x = 47 + -6x Solving -58 + -1x = 47 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -58 + -1x + 6x = 47 + -6x + 6x Combine like terms: -1x + 6x = 5x -58 + 5x = 47 + -6x + 6x Combine like terms: -6x + 6x = 0 -58 + 5x = 47 + 0 -58 + 5x = 47 Add '58' to each side of the equation. -58 + 58 + 5x = 47 + 58 Combine like terms: -58 + 58 = 0 0 + 5x = 47 + 58 5x = 47 + 58 Combine like terms: 47 + 58 = 105 5x = 105 Divide each side by '5'. x = 21 Simplifying x = 21
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