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Simplifying -6(7x + -6) + -4(-2x + -7) = 0 Reorder the terms: -6(-6 + 7x) + -4(-2x + -7) = 0 (-6 * -6 + 7x * -6) + -4(-2x + -7) = 0 (36 + -42x) + -4(-2x + -7) = 0 Reorder the terms: 36 + -42x + -4(-7 + -2x) = 0 36 + -42x + (-7 * -4 + -2x * -4) = 0 36 + -42x + (28 + 8x) = 0 Reorder the terms: 36 + 28 + -42x + 8x = 0 Combine like terms: 36 + 28 = 64 64 + -42x + 8x = 0 Combine like terms: -42x + 8x = -34x 64 + -34x = 0 Solving 64 + -34x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + -34x = 0 + -64 Combine like terms: 64 + -64 = 0 0 + -34x = 0 + -64 -34x = 0 + -64 Combine like terms: 0 + -64 = -64 -34x = -64 Divide each side by '-34'. x = 1.882352941 Simplifying x = 1.882352941
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