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Simplifying 6(-2 + -8x) + -2(x + 7) = 0 (-2 * 6 + -8x * 6) + -2(x + 7) = 0 (-12 + -48x) + -2(x + 7) = 0 Reorder the terms: -12 + -48x + -2(7 + x) = 0 -12 + -48x + (7 * -2 + x * -2) = 0 -12 + -48x + (-14 + -2x) = 0 Reorder the terms: -12 + -14 + -48x + -2x = 0 Combine like terms: -12 + -14 = -26 -26 + -48x + -2x = 0 Combine like terms: -48x + -2x = -50x -26 + -50x = 0 Solving -26 + -50x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + -50x = 0 + 26 Combine like terms: -26 + 26 = 0 0 + -50x = 0 + 26 -50x = 0 + 26 Combine like terms: 0 + 26 = 26 -50x = 26 Divide each side by '-50'. x = -0.52 Simplifying x = -0.52
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