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Simplifying 130 + 0.20x = 80 + 0.70x Solving 130 + 0.20x = 80 + 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. 130 + 0.20x + -0.70x = 80 + 0.70x + -0.70x Combine like terms: 0.20x + -0.70x = -0.5x 130 + -0.5x = 80 + 0.70x + -0.70x Combine like terms: 0.70x + -0.70x = 0.00 130 + -0.5x = 80 + 0.00 130 + -0.5x = 80 Add '-130' to each side of the equation. 130 + -130 + -0.5x = 80 + -130 Combine like terms: 130 + -130 = 0 0 + -0.5x = 80 + -130 -0.5x = 80 + -130 Combine like terms: 80 + -130 = -50 -0.5x = -50 Divide each side by '-0.5'. x = 100 Simplifying x = 100
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