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Simplifying 100 + 0.30x = 80 + 0.70x Solving 100 + 0.30x = 80 + 0.70x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.70x' to each side of the equation. 100 + 0.30x + -0.70x = 80 + 0.70x + -0.70x Combine like terms: 0.30x + -0.70x = -0.4x 100 + -0.4x = 80 + 0.70x + -0.70x Combine like terms: 0.70x + -0.70x = 0.00 100 + -0.4x = 80 + 0.00 100 + -0.4x = 80 Add '-100' to each side of the equation. 100 + -100 + -0.4x = 80 + -100 Combine like terms: 100 + -100 = 0 0 + -0.4x = 80 + -100 -0.4x = 80 + -100 Combine like terms: 80 + -100 = -20 -0.4x = -20 Divide each side by '-0.4'. x = 50 Simplifying x = 50
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