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Simplifying 120 + 0.30x = 50 + 0.40x Solving 120 + 0.30x = 50 + 0.40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.40x' to each side of the equation. 120 + 0.30x + -0.40x = 50 + 0.40x + -0.40x Combine like terms: 0.30x + -0.40x = -0.1x 120 + -0.1x = 50 + 0.40x + -0.40x Combine like terms: 0.40x + -0.40x = 0.00 120 + -0.1x = 50 + 0.00 120 + -0.1x = 50 Add '-120' to each side of the equation. 120 + -120 + -0.1x = 50 + -120 Combine like terms: 120 + -120 = 0 0 + -0.1x = 50 + -120 -0.1x = 50 + -120 Combine like terms: 50 + -120 = -70 -0.1x = -70 Divide each side by '-0.1'. x = 700 Simplifying x = 700
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