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Simplifying -5.1 = 3x + 2.4 Reorder the terms: -5.1 = 2.4 + 3x Solving -5.1 = 2.4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -5.1 + -3x = 2.4 + 3x + -3x Combine like terms: 3x + -3x = 0 -5.1 + -3x = 2.4 + 0 -5.1 + -3x = 2.4 Add '5.1' to each side of the equation. -5.1 + 5.1 + -3x = 2.4 + 5.1 Combine like terms: -5.1 + 5.1 = 0.0 0.0 + -3x = 2.4 + 5.1 -3x = 2.4 + 5.1 Combine like terms: 2.4 + 5.1 = 7.5 -3x = 7.5 Divide each side by '-3'. x = -2.5 Simplifying x = -2.5
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