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Simplifying 35 + 5x = 100 + -8x Solving 35 + 5x = 100 + -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. 35 + 5x + 8x = 100 + -8x + 8x Combine like terms: 5x + 8x = 13x 35 + 13x = 100 + -8x + 8x Combine like terms: -8x + 8x = 0 35 + 13x = 100 + 0 35 + 13x = 100 Add '-35' to each side of the equation. 35 + -35 + 13x = 100 + -35 Combine like terms: 35 + -35 = 0 0 + 13x = 100 + -35 13x = 100 + -35 Combine like terms: 100 + -35 = 65 13x = 65 Divide each side by '13'. x = 5 Simplifying x = 5
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