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Simplifying 120 + 0.8x = 40 + 0.9x Solving 120 + 0.8x = 40 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. 120 + 0.8x + -0.9x = 40 + 0.9x + -0.9x Combine like terms: 0.8x + -0.9x = -0.1x 120 + -0.1x = 40 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 120 + -0.1x = 40 + 0.0 120 + -0.1x = 40 Add '-120' to each side of the equation. 120 + -120 + -0.1x = 40 + -120 Combine like terms: 120 + -120 = 0 0 + -0.1x = 40 + -120 -0.1x = 40 + -120 Combine like terms: 40 + -120 = -80 -0.1x = -80 Divide each side by '-0.1'. x = 800 Simplifying x = 800
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