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Simplifying -35x + 100 = 500 + 40x + -100 Reorder the terms: 100 + -35x = 500 + 40x + -100 Reorder the terms: 100 + -35x = 500 + -100 + 40x Combine like terms: 500 + -100 = 400 100 + -35x = 400 + 40x Solving 100 + -35x = 400 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 100 + -35x + -40x = 400 + 40x + -40x Combine like terms: -35x + -40x = -75x 100 + -75x = 400 + 40x + -40x Combine like terms: 40x + -40x = 0 100 + -75x = 400 + 0 100 + -75x = 400 Add '-100' to each side of the equation. 100 + -100 + -75x = 400 + -100 Combine like terms: 100 + -100 = 0 0 + -75x = 400 + -100 -75x = 400 + -100 Combine like terms: 400 + -100 = 300 -75x = 300 Divide each side by '-75'. x = -4 Simplifying x = -4
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