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Simplifying 120 + 0.40x = 40 + 0.90x Solving 120 + 0.40x = 40 + 0.90x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.90x' to each side of the equation. 120 + 0.40x + -0.90x = 40 + 0.90x + -0.90x Combine like terms: 0.40x + -0.90x = -0.5x 120 + -0.5x = 40 + 0.90x + -0.90x Combine like terms: 0.90x + -0.90x = 0.00 120 + -0.5x = 40 + 0.00 120 + -0.5x = 40 Add '-120' to each side of the equation. 120 + -120 + -0.5x = 40 + -120 Combine like terms: 120 + -120 = 0 0 + -0.5x = 40 + -120 -0.5x = 40 + -120 Combine like terms: 40 + -120 = -80 -0.5x = -80 Divide each side by '-0.5'. x = 160 Simplifying x = 160
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