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Simplifying 100 + 10x = 75 + 8x Solving 100 + 10x = 75 + 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. 100 + 10x + -8x = 75 + 8x + -8x Combine like terms: 10x + -8x = 2x 100 + 2x = 75 + 8x + -8x Combine like terms: 8x + -8x = 0 100 + 2x = 75 + 0 100 + 2x = 75 Add '-100' to each side of the equation. 100 + -100 + 2x = 75 + -100 Combine like terms: 100 + -100 = 0 0 + 2x = 75 + -100 2x = 75 + -100 Combine like terms: 75 + -100 = -25 2x = -25 Divide each side by '2'. x = -12.5 Simplifying x = -12.5
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