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Simplifying 2.7x + 38.1 = 0.9 + -9.7x Reorder the terms: 38.1 + 2.7x = 0.9 + -9.7x Solving 38.1 + 2.7x = 0.9 + -9.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9.7x' to each side of the equation. 38.1 + 2.7x + 9.7x = 0.9 + -9.7x + 9.7x Combine like terms: 2.7x + 9.7x = 12.4x 38.1 + 12.4x = 0.9 + -9.7x + 9.7x Combine like terms: -9.7x + 9.7x = 0.0 38.1 + 12.4x = 0.9 + 0.0 38.1 + 12.4x = 0.9 Add '-38.1' to each side of the equation. 38.1 + -38.1 + 12.4x = 0.9 + -38.1 Combine like terms: 38.1 + -38.1 = 0.0 0.0 + 12.4x = 0.9 + -38.1 12.4x = 0.9 + -38.1 Combine like terms: 0.9 + -38.1 = -37.2 12.4x = -37.2 Divide each side by '12.4'. x = -3 Simplifying x = -3
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