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Simplifying 40 + 0.1x = 30 + 0.3x Solving 40 + 0.1x = 30 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 40 + 0.1x + -0.3x = 30 + 0.3x + -0.3x Combine like terms: 0.1x + -0.3x = -0.2x 40 + -0.2x = 30 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 40 + -0.2x = 30 + 0.0 40 + -0.2x = 30 Add '-40' to each side of the equation. 40 + -40 + -0.2x = 30 + -40 Combine like terms: 40 + -40 = 0 0 + -0.2x = 30 + -40 -0.2x = 30 + -40 Combine like terms: 30 + -40 = -10 -0.2x = -10 Divide each side by '-0.2'. x = 50 Simplifying x = 50
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