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Simplifying 120 + 0.80x = 70 + 0.90x Solving 120 + 0.80x = 70 + 0.90x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.90x' to each side of the equation. 120 + 0.80x + -0.90x = 70 + 0.90x + -0.90x Combine like terms: 0.80x + -0.90x = -0.1x 120 + -0.1x = 70 + 0.90x + -0.90x Combine like terms: 0.90x + -0.90x = 0.00 120 + -0.1x = 70 + 0.00 120 + -0.1x = 70 Add '-120' to each side of the equation. 120 + -120 + -0.1x = 70 + -120 Combine like terms: 120 + -120 = 0 0 + -0.1x = 70 + -120 -0.1x = 70 + -120 Combine like terms: 70 + -120 = -50 -0.1x = -50 Divide each side by '-0.1'. x = 500 Simplifying x = 500
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