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Simplifying 2.4x + 13.7 = 8.1x + -22.5 Reorder the terms: 13.7 + 2.4x = 8.1x + -22.5 Reorder the terms: 13.7 + 2.4x = -22.5 + 8.1x Solving 13.7 + 2.4x = -22.5 + 8.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.1x' to each side of the equation. 13.7 + 2.4x + -8.1x = -22.5 + 8.1x + -8.1x Combine like terms: 2.4x + -8.1x = -5.7x 13.7 + -5.7x = -22.5 + 8.1x + -8.1x Combine like terms: 8.1x + -8.1x = 0.0 13.7 + -5.7x = -22.5 + 0.0 13.7 + -5.7x = -22.5 Add '-13.7' to each side of the equation. 13.7 + -13.7 + -5.7x = -22.5 + -13.7 Combine like terms: 13.7 + -13.7 = 0.0 0.0 + -5.7x = -22.5 + -13.7 -5.7x = -22.5 + -13.7 Combine like terms: -22.5 + -13.7 = -36.2 -5.7x = -36.2 Divide each side by '-5.7'. x = 6.350877193 Simplifying x = 6.350877193
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