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Simplifying -2x + 14x + -8 + 2 = 6 + 7 + -3x Reorder the terms: -8 + 2 + -2x + 14x = 6 + 7 + -3x Combine like terms: -8 + 2 = -6 -6 + -2x + 14x = 6 + 7 + -3x Combine like terms: -2x + 14x = 12x -6 + 12x = 6 + 7 + -3x Combine like terms: 6 + 7 = 13 -6 + 12x = 13 + -3x Solving -6 + 12x = 13 + -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. -6 + 12x + 3x = 13 + -3x + 3x Combine like terms: 12x + 3x = 15x -6 + 15x = 13 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 15x = 13 + 0 -6 + 15x = 13 Add '6' to each side of the equation. -6 + 6 + 15x = 13 + 6 Combine like terms: -6 + 6 = 0 0 + 15x = 13 + 6 15x = 13 + 6 Combine like terms: 13 + 6 = 19 15x = 19 Divide each side by '15'. x = 1.266666667 Simplifying x = 1.266666667
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