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Simplifying 80 + 0.30x = 40 + 0.70x Solving 80 + 0.30x = 40 + 0.70x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.70x' to each side of the equation. 80 + 0.30x + -0.70x = 40 + 0.70x + -0.70x Combine like terms: 0.30x + -0.70x = -0.4x 80 + -0.4x = 40 + 0.70x + -0.70x Combine like terms: 0.70x + -0.70x = 0.00 80 + -0.4x = 40 + 0.00 80 + -0.4x = 40 Add '-80' to each side of the equation. 80 + -80 + -0.4x = 40 + -80 Combine like terms: 80 + -80 = 0 0 + -0.4x = 40 + -80 -0.4x = 40 + -80 Combine like terms: 40 + -80 = -40 -0.4x = -40 Divide each side by '-0.4'. x = 100 Simplifying x = 100
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