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Simplifying 70 + 0.40x = 30 + 0.50x Solving 70 + 0.40x = 30 + 0.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.50x' to each side of the equation. 70 + 0.40x + -0.50x = 30 + 0.50x + -0.50x Combine like terms: 0.40x + -0.50x = -0.1x 70 + -0.1x = 30 + 0.50x + -0.50x Combine like terms: 0.50x + -0.50x = 0.00 70 + -0.1x = 30 + 0.00 70 + -0.1x = 30 Add '-70' to each side of the equation. 70 + -70 + -0.1x = 30 + -70 Combine like terms: 70 + -70 = 0 0 + -0.1x = 30 + -70 -0.1x = 30 + -70 Combine like terms: 30 + -70 = -40 -0.1x = -40 Divide each side by '-0.1'. x = 400 Simplifying x = 400
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