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Simplifying 40 + 0.5x = 20 + 0.9x Solving 40 + 0.5x = 20 + 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. 40 + 0.5x + -0.9x = 20 + 0.9x + -0.9x Combine like terms: 0.5x + -0.9x = -0.4x 40 + -0.4x = 20 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 40 + -0.4x = 20 + 0.0 40 + -0.4x = 20 Add '-40' to each side of the equation. 40 + -40 + -0.4x = 20 + -40 Combine like terms: 40 + -40 = 0 0 + -0.4x = 20 + -40 -0.4x = 20 + -40 Combine like terms: 20 + -40 = -20 -0.4x = -20 Divide each side by '-0.4'. x = 50 Simplifying x = 50
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