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Simplifying 0.042x + 5.189 = 0.030x + 5.183 Reorder the terms: 5.189 + 0.042x = 0.030x + 5.183 Reorder the terms: 5.189 + 0.042x = 5.183 + 0.030x Solving 5.189 + 0.042x = 5.183 + 0.030x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.030x' to each side of the equation. 5.189 + 0.042x + -0.030x = 5.183 + 0.030x + -0.030x Combine like terms: 0.042x + -0.030x = 0.012x 5.189 + 0.012x = 5.183 + 0.030x + -0.030x Combine like terms: 0.030x + -0.030x = 0.000 5.189 + 0.012x = 5.183 + 0.000 5.189 + 0.012x = 5.183 Add '-5.189' to each side of the equation. 5.189 + -5.189 + 0.012x = 5.183 + -5.189 Combine like terms: 5.189 + -5.189 = 0.000 0.000 + 0.012x = 5.183 + -5.189 0.012x = 5.183 + -5.189 Combine like terms: 5.183 + -5.189 = -0.006 0.012x = -0.006 Divide each side by '0.012'. x = -0.5 Simplifying x = -0.5
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