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Simplifying 5.2x + -3.8 = 6.9x + 13.7 Reorder the terms: -3.8 + 5.2x = 6.9x + 13.7 Reorder the terms: -3.8 + 5.2x = 13.7 + 6.9x Solving -3.8 + 5.2x = 13.7 + 6.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.9x' to each side of the equation. -3.8 + 5.2x + -6.9x = 13.7 + 6.9x + -6.9x Combine like terms: 5.2x + -6.9x = -1.7x -3.8 + -1.7x = 13.7 + 6.9x + -6.9x Combine like terms: 6.9x + -6.9x = 0.0 -3.8 + -1.7x = 13.7 + 0.0 -3.8 + -1.7x = 13.7 Add '3.8' to each side of the equation. -3.8 + 3.8 + -1.7x = 13.7 + 3.8 Combine like terms: -3.8 + 3.8 = 0.0 0.0 + -1.7x = 13.7 + 3.8 -1.7x = 13.7 + 3.8 Combine like terms: 13.7 + 3.8 = 17.5 -1.7x = 17.5 Divide each side by '-1.7'. x = -10.29411765 Simplifying x = -10.29411765
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