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Simplifying -6(-7 + -1X) + -7x = 37 (-7 * -6 + -1X * -6) + -7x = 37 (42 + 6X) + -7x = 37 Solving 42 + 6X + -7x = 37 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + 6X + -42 + -7x = 37 + -42 Reorder the terms: 42 + -42 + 6X + -7x = 37 + -42 Combine like terms: 42 + -42 = 0 0 + 6X + -7x = 37 + -42 6X + -7x = 37 + -42 Combine like terms: 37 + -42 = -5 6X + -7x = -5 Add '7x' to each side of the equation. 6X + -7x + 7x = -5 + 7x Combine like terms: -7x + 7x = 0 6X + 0 = -5 + 7x 6X = -5 + 7x Divide each side by '6'. X = -0.8333333333 + 1.166666667x Simplifying X = -0.8333333333 + 1.166666667x
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