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Simplifying 13x + 58 = 8x + 13 Reorder the terms: 58 + 13x = 8x + 13 Reorder the terms: 58 + 13x = 13 + 8x Solving 58 + 13x = 13 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 58 + 13x + -8x = 13 + 8x + -8x Combine like terms: 13x + -8x = 5x 58 + 5x = 13 + 8x + -8x Combine like terms: 8x + -8x = 0 58 + 5x = 13 + 0 58 + 5x = 13 Add '-58' to each side of the equation. 58 + -58 + 5x = 13 + -58 Combine like terms: 58 + -58 = 0 0 + 5x = 13 + -58 5x = 13 + -58 Combine like terms: 13 + -58 = -45 5x = -45 Divide each side by '5'. x = -9 Simplifying x = -9
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