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Simplifying -8 + -3.4 = 3x + -6.7 Combine like terms: -8 + -3.4 = -11.4 -11.4 = 3x + -6.7 Reorder the terms: -11.4 = -6.7 + 3x Solving -11.4 = -6.7 + 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. -11.4 + -3x = -6.7 + 3x + -3x Combine like terms: 3x + -3x = 0 -11.4 + -3x = -6.7 + 0 -11.4 + -3x = -6.7 Add '11.4' to each side of the equation. -11.4 + 11.4 + -3x = -6.7 + 11.4 Combine like terms: -11.4 + 11.4 = 0.0 0.0 + -3x = -6.7 + 11.4 -3x = -6.7 + 11.4 Combine like terms: -6.7 + 11.4 = 4.7 -3x = 4.7 Divide each side by '-3'. x = -1.566666667 Simplifying x = -1.566666667
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