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Simplifying 5x + 35 = 13x + -5 Reorder the terms: 35 + 5x = 13x + -5 Reorder the terms: 35 + 5x = -5 + 13x Solving 35 + 5x = -5 + 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 = -5 + 13x + -13x Combine like terms: 5x + -13x = -8x 35 + -8x = -5 + 13x + -13x Combine like terms: 13x + -13x = 0 35 + -8x = -5 + 0 35 + -8x = -5 Add '-35' to each side of the equation. 35 + -35 + -8x = -5 + -35 Combine like terms: 35 + -35 = 0 0 + -8x = -5 + -35 -8x = -5 + -35 Combine like terms: -5 + -35 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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