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Simplifying 10x + 6 = (-2x) + -8 Reorder the terms: 6 + 10x = (-2x) + -8 Reorder the terms: 6 + 10x = -8 + (-2x) Solving 6 + 10x = -8 + (-2x) Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(2x)' to each side of the equation. 6 + 10x + (2x) = -8 + (-2x) + (2x) Combine like terms: 10x + (2x) = 12x 6 + 12x = -8 + (-2x) + (2x) Combine like terms: (-2x) + (2x) = 0 6 + 12x = -8 + 0 6 + 12x = -8 Add '-6' to each side of the equation. 6 + -6 + 12x = -8 + -6 Combine like terms: 6 + -6 = 0 0 + 12x = -8 + -6 12x = -8 + -6 Combine like terms: -8 + -6 = -14 12x = -14 Divide each side by '12'. x = -1.166666667 Simplifying x = -1.166666667
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