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Simplifying 100 + -5x = 140 + -10x Solving 100 + -5x = 140 + -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 + -5x + 10x = 140 + -10x + 10x Combine like terms: -5x + 10x = 5x 100 + 5x = 140 + -10x + 10x Combine like terms: -10x + 10x = 0 100 + 5x = 140 + 0 100 + 5x = 140 Add '-100' to each side of the equation. 100 + -100 + 5x = 140 + -100 Combine like terms: 100 + -100 = 0 0 + 5x = 140 + -100 5x = 140 + -100 Combine like terms: 140 + -100 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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