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Simplifying 0.042x + 5.097 = 0.03x + 5.091 Reorder the terms: 5.097 + 0.042x = 0.03x + 5.091 Reorder the terms: 5.097 + 0.042x = 5.091 + 0.03x Solving 5.097 + 0.042x = 5.091 + 0.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.03x' to each side of the equation. 5.097 + 0.042x + -0.03x = 5.091 + 0.03x + -0.03x Combine like terms: 0.042x + -0.03x = 0.012x 5.097 + 0.012x = 5.091 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 5.097 + 0.012x = 5.091 + 0.00 5.097 + 0.012x = 5.091 Add '-5.097' to each side of the equation. 5.097 + -5.097 + 0.012x = 5.091 + -5.097 Combine like terms: 5.097 + -5.097 = 0.000 0.000 + 0.012x = 5.091 + -5.097 0.012x = 5.091 + -5.097 Combine like terms: 5.091 + -5.097 = -0.006 0.012x = -0.006 Divide each side by '0.012'. x = -0.5 Simplifying x = -0.5
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