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Simplifying -58 + 13x = 5x + 118 Reorder the terms: -58 + 13x = 118 + 5x Solving -58 + 13x = 118 + 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. -58 + 13x + -5x = 118 + 5x + -5x Combine like terms: 13x + -5x = 8x -58 + 8x = 118 + 5x + -5x Combine like terms: 5x + -5x = 0 -58 + 8x = 118 + 0 -58 + 8x = 118 Add '58' to each side of the equation. -58 + 58 + 8x = 118 + 58 Combine like terms: -58 + 58 = 0 0 + 8x = 118 + 58 8x = 118 + 58 Combine like terms: 118 + 58 = 176 8x = 176 Divide each side by '8'. x = 22 Simplifying x = 22
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