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Simplifying 0.294x + 4 = 0.200x + 5 Reorder the terms: 4 + 0.294x = 0.200x + 5 Reorder the terms: 4 + 0.294x = 5 + 0.200x Solving 4 + 0.294x = 5 + 0.200x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.200x' to each side of the equation. 4 + 0.294x + -0.200x = 5 + 0.200x + -0.200x Combine like terms: 0.294x + -0.200x = 0.094x 4 + 0.094x = 5 + 0.200x + -0.200x Combine like terms: 0.200x + -0.200x = 0.000 4 + 0.094x = 5 + 0.000 4 + 0.094x = 5 Add '-4' to each side of the equation. 4 + -4 + 0.094x = 5 + -4 Combine like terms: 4 + -4 = 0 0 + 0.094x = 5 + -4 0.094x = 5 + -4 Combine like terms: 5 + -4 = 1 0.094x = 1 Divide each side by '0.094'. x = 10.63829787 Simplifying x = 10.63829787
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