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Simplifying 100 + 8x = 75 + 10x Solving 100 + 8x = 75 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 100 + 8x + -10x = 75 + 10x + -10x Combine like terms: 8x + -10x = -2x 100 + -2x = 75 + 10x + -10x Combine like terms: 10x + -10x = 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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