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Simplifying 50 + 0.2x = 30 + 0.6x Solving 50 + 0.2x = 30 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. 50 + 0.2x + -0.6x = 30 + 0.6x + -0.6x Combine like terms: 0.2x + -0.6x = -0.4x 50 + -0.4x = 30 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 50 + -0.4x = 30 + 0.0 50 + -0.4x = 30 Add '-50' to each side of the equation. 50 + -50 + -0.4x = 30 + -50 Combine like terms: 50 + -50 = 0 0 + -0.4x = 30 + -50 -0.4x = 30 + -50 Combine like terms: 30 + -50 = -20 -0.4x = -20 Divide each side by '-0.4'. x = 50 Simplifying x = 50
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