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Simplifying 3.798x + 12.001 = 5.176x + -3.102 Reorder the terms: 12.001 + 3.798x = 5.176x + -3.102 Reorder the terms: 12.001 + 3.798x = -3.102 + 5.176x Solving 12.001 + 3.798x = -3.102 + 5.176x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.176x' to each side of the equation. 12.001 + 3.798x + -5.176x = -3.102 + 5.176x + -5.176x Combine like terms: 3.798x + -5.176x = -1.378x 12.001 + -1.378x = -3.102 + 5.176x + -5.176x Combine like terms: 5.176x + -5.176x = 0.000 12.001 + -1.378x = -3.102 + 0.000 12.001 + -1.378x = -3.102 Add '-12.001' to each side of the equation. 12.001 + -12.001 + -1.378x = -3.102 + -12.001 Combine like terms: 12.001 + -12.001 = 0.000 0.000 + -1.378x = -3.102 + -12.001 -1.378x = -3.102 + -12.001 Combine like terms: -3.102 + -12.001 = -15.103 -1.378x = -15.103 Divide each side by '-1.378'. x = 10.96008708 Simplifying x = 10.96008708
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