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Simplifying 3x + -2(7x + 6) = -100 Reorder the terms: 3x + -2(6 + 7x) = -100 3x + (6 * -2 + 7x * -2) = -100 3x + (-12 + -14x) = -100 Reorder the terms: -12 + 3x + -14x = -100 Combine like terms: 3x + -14x = -11x -12 + -11x = -100 Solving -12 + -11x = -100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -11x = -100 + 12 Combine like terms: -12 + 12 = 0 0 + -11x = -100 + 12 -11x = -100 + 12 Combine like terms: -100 + 12 = -88 -11x = -88 Divide each side by '-11'. x = 8 Simplifying x = 8
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