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Simplifying 6.7 = 3.4x + -3.9x + 5.7 Reorder the terms: 6.7 = 5.7 + 3.4x + -3.9x Combine like terms: 3.4x + -3.9x = -0.5x 6.7 = 5.7 + -0.5x Solving 6.7 = 5.7 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. 6.7 + 0.5x = 5.7 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 6.7 + 0.5x = 5.7 + 0.0 6.7 + 0.5x = 5.7 Add '-6.7' to each side of the equation. 6.7 + -6.7 + 0.5x = 5.7 + -6.7 Combine like terms: 6.7 + -6.7 = 0.0 0.0 + 0.5x = 5.7 + -6.7 0.5x = 5.7 + -6.7 Combine like terms: 5.7 + -6.7 = -1 0.5x = -1 Divide each side by '0.5'. x = -2 Simplifying x = -2
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