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