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Simplifying -7(X + 7) = -5(4X + 6) + -6X Reorder the terms: -7(7 + X) = -5(4X + 6) + -6X (7 * -7 + X * -7) = -5(4X + 6) + -6X (-49 + -7X) = -5(4X + 6) + -6X Reorder the terms: -49 + -7X = -5(6 + 4X) + -6X -49 + -7X = (6 * -5 + 4X * -5) + -6X -49 + -7X = (-30 + -20X) + -6X Combine like terms: -20X + -6X = -26X -49 + -7X = -30 + -26X Solving -49 + -7X = -30 + -26X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '26X' to each side of the equation. -49 + -7X + 26X = -30 + -26X + 26X Combine like terms: -7X + 26X = 19X -49 + 19X = -30 + -26X + 26X Combine like terms: -26X + 26X = 0 -49 + 19X = -30 + 0 -49 + 19X = -30 Add '49' to each side of the equation. -49 + 49 + 19X = -30 + 49 Combine like terms: -49 + 49 = 0 0 + 19X = -30 + 49 19X = -30 + 49 Combine like terms: -30 + 49 = 19 19X = 19 Divide each side by '19'. X = 1 Simplifying X = 1
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