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Simplifying 70 + 0.50x = 30 + 0.90x Solving 70 + 0.50x = 30 + 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. 70 + 0.50x + -0.90x = 30 + 0.90x + -0.90x Combine like terms: 0.50x + -0.90x = -0.4x 70 + -0.4x = 30 + 0.90x + -0.90x Combine like terms: 0.90x + -0.90x = 0.00 70 + -0.4x = 30 + 0.00 70 + -0.4x = 30 Add '-70' to each side of the equation. 70 + -70 + -0.4x = 30 + -70 Combine like terms: 70 + -70 = 0 0 + -0.4x = 30 + -70 -0.4x = 30 + -70 Combine like terms: 30 + -70 = -40 -0.4x = -40 Divide each side by '-0.4'. x = 100 Simplifying x = 100
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