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Simplifying 5x + 35 = 13x + -58 Reorder the terms: 35 + 5x = 13x + -58 Reorder the terms: 35 + 5x = -58 + 13x Solving 35 + 5x = -58 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 35 + 5x + -13x = -58 + 13x + -13x Combine like terms: 5x + -13x = -8x 35 + -8x = -58 + 13x + -13x Combine like terms: 13x + -13x = 0 35 + -8x = -58 + 0 35 + -8x = -58 Add '-35' to each side of the equation. 35 + -35 + -8x = -58 + -35 Combine like terms: 35 + -35 = 0 0 + -8x = -58 + -35 -8x = -58 + -35 Combine like terms: -58 + -35 = -93 -8x = -93 Divide each side by '-8'. x = 11.625 Simplifying x = 11.625
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