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Simplifying 4.2x + 11.7 + -7.3x = 4.1x + -2.1 Reorder the terms: 11.7 + 4.2x + -7.3x = 4.1x + -2.1 Combine like terms: 4.2x + -7.3x = -3.1x 11.7 + -3.1x = 4.1x + -2.1 Reorder the terms: 11.7 + -3.1x = -2.1 + 4.1x Solving 11.7 + -3.1x = -2.1 + 4.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.1x' to each side of the equation. 11.7 + -3.1x + -4.1x = -2.1 + 4.1x + -4.1x Combine like terms: -3.1x + -4.1x = -7.2x 11.7 + -7.2x = -2.1 + 4.1x + -4.1x Combine like terms: 4.1x + -4.1x = 0.0 11.7 + -7.2x = -2.1 + 0.0 11.7 + -7.2x = -2.1 Add '-11.7' to each side of the equation. 11.7 + -11.7 + -7.2x = -2.1 + -11.7 Combine like terms: 11.7 + -11.7 = 0.0 0.0 + -7.2x = -2.1 + -11.7 -7.2x = -2.1 + -11.7 Combine like terms: -2.1 + -11.7 = -13.8 -7.2x = -13.8 Divide each side by '-7.2'. x = 1.916666667 Simplifying x = 1.916666667
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