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Simplifying 6.8 + -4x = 5(x + -13.7) Reorder the terms: 6.8 + -4x = 5(-13.7 + x) 6.8 + -4x = (-13.7 * 5 + x * 5) 6.8 + -4x = (-68.5 + 5x) Solving 6.8 + -4x = -68.5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6.8 + -4x + -5x = -68.5 + 5x + -5x Combine like terms: -4x + -5x = -9x 6.8 + -9x = -68.5 + 5x + -5x Combine like terms: 5x + -5x = 0 6.8 + -9x = -68.5 + 0 6.8 + -9x = -68.5 Add '-6.8' to each side of the equation. 6.8 + -6.8 + -9x = -68.5 + -6.8 Combine like terms: 6.8 + -6.8 = 0.0 0.0 + -9x = -68.5 + -6.8 -9x = -68.5 + -6.8 Combine like terms: -68.5 + -6.8 = -75.3 -9x = -75.3 Divide each side by '-9'. x = 8.366666667 Simplifying x = 8.366666667
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