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Simplifying 6.4x + -2.9 = 1.4x + 12.1 Reorder the terms: -2.9 + 6.4x = 1.4x + 12.1 Reorder the terms: -2.9 + 6.4x = 12.1 + 1.4x Solving -2.9 + 6.4x = 12.1 + 1.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.4x' to each side of the equation. -2.9 + 6.4x + -1.4x = 12.1 + 1.4x + -1.4x Combine like terms: 6.4x + -1.4x = 5x -2.9 + 5x = 12.1 + 1.4x + -1.4x Combine like terms: 1.4x + -1.4x = 0.0 -2.9 + 5x = 12.1 + 0.0 -2.9 + 5x = 12.1 Add '2.9' to each side of the equation. -2.9 + 2.9 + 5x = 12.1 + 2.9 Combine like terms: -2.9 + 2.9 = 0.0 0.0 + 5x = 12.1 + 2.9 5x = 12.1 + 2.9 Combine like terms: 12.1 + 2.9 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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