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Simplifying 2.1x + -45.3 = 17.3x + 23.1 Reorder the terms: -45.3 + 2.1x = 17.3x + 23.1 Reorder the terms: -45.3 + 2.1x = 23.1 + 17.3x Solving -45.3 + 2.1x = 23.1 + 17.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17.3x' to each side of the equation. -45.3 + 2.1x + -17.3x = 23.1 + 17.3x + -17.3x Combine like terms: 2.1x + -17.3x = -15.2x -45.3 + -15.2x = 23.1 + 17.3x + -17.3x Combine like terms: 17.3x + -17.3x = 0.0 -45.3 + -15.2x = 23.1 + 0.0 -45.3 + -15.2x = 23.1 Add '45.3' to each side of the equation. -45.3 + 45.3 + -15.2x = 23.1 + 45.3 Combine like terms: -45.3 + 45.3 = 0.0 0.0 + -15.2x = 23.1 + 45.3 -15.2x = 23.1 + 45.3 Combine like terms: 23.1 + 45.3 = 68.4 -15.2x = 68.4 Divide each side by '-15.2'. x = -4.5 Simplifying x = -4.5
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