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Simplifying 3.7x + 7 = 8.1x + -19.4 Reorder the terms: 7 + 3.7x = 8.1x + -19.4 Reorder the terms: 7 + 3.7x = -19.4 + 8.1x Solving 7 + 3.7x = -19.4 + 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. 7 + 3.7x + -8.1x = -19.4 + 8.1x + -8.1x Combine like terms: 3.7x + -8.1x = -4.4x 7 + -4.4x = -19.4 + 8.1x + -8.1x Combine like terms: 8.1x + -8.1x = 0.0 7 + -4.4x = -19.4 + 0.0 7 + -4.4x = -19.4 Add '-7' to each side of the equation. 7 + -7 + -4.4x = -19.4 + -7 Combine like terms: 7 + -7 = 0 0 + -4.4x = -19.4 + -7 -4.4x = -19.4 + -7 Combine like terms: -19.4 + -7 = -26.4 -4.4x = -26.4 Divide each side by '-4.4'. x = 6 Simplifying x = 6
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