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Simplifying 0.045x + 5.787 = 0.030x + 5.778 Reorder the terms: 5.787 + 0.045x = 0.030x + 5.778 Reorder the terms: 5.787 + 0.045x = 5.778 + 0.030x Solving 5.787 + 0.045x = 5.778 + 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. 5.787 + 0.045x + -0.030x = 5.778 + 0.030x + -0.030x Combine like terms: 0.045x + -0.030x = 0.015x 5.787 + 0.015x = 5.778 + 0.030x + -0.030x Combine like terms: 0.030x + -0.030x = 0.000 5.787 + 0.015x = 5.778 + 0.000 5.787 + 0.015x = 5.778 Add '-5.787' to each side of the equation. 5.787 + -5.787 + 0.015x = 5.778 + -5.787 Combine like terms: 5.787 + -5.787 = 0.000 0.000 + 0.015x = 5.778 + -5.787 0.015x = 5.778 + -5.787 Combine like terms: 5.778 + -5.787 = -0.009 0.015x = -0.009 Divide each side by '0.015'. x = -0.6 Simplifying x = -0.6
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