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Simplifying 100 + 0.40x = 30 + 0.60x Solving 100 + 0.40x = 30 + 0.60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.60x' to each side of the equation. 100 + 0.40x + -0.60x = 30 + 0.60x + -0.60x Combine like terms: 0.40x + -0.60x = -0.2x 100 + -0.2x = 30 + 0.60x + -0.60x Combine like terms: 0.60x + -0.60x = 0.00 100 + -0.2x = 30 + 0.00 100 + -0.2x = 30 Add '-100' to each side of the equation. 100 + -100 + -0.2x = 30 + -100 Combine like terms: 100 + -100 = 0 0 + -0.2x = 30 + -100 -0.2x = 30 + -100 Combine like terms: 30 + -100 = -70 -0.2x = -70 Divide each side by '-0.2'. x = 350 Simplifying x = 350
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