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Simplifying -2(X + 7) = 2X + -6 + 2(2X + 3) Reorder the terms: -2(7 + X) = 2X + -6 + 2(2X + 3) (7 * -2 + X * -2) = 2X + -6 + 2(2X + 3) (-14 + -2X) = 2X + -6 + 2(2X + 3) Reorder the terms: -14 + -2X = 2X + -6 + 2(3 + 2X) -14 + -2X = 2X + -6 + (3 * 2 + 2X * 2) -14 + -2X = 2X + -6 + (6 + 4X) Reorder the terms: -14 + -2X = -6 + 6 + 2X + 4X Combine like terms: -6 + 6 = 0 -14 + -2X = 0 + 2X + 4X -14 + -2X = 2X + 4X Combine like terms: 2X + 4X = 6X -14 + -2X = 6X Solving -14 + -2X = 6X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6X' to each side of the equation. -14 + -2X + -6X = 6X + -6X Combine like terms: -2X + -6X = -8X -14 + -8X = 6X + -6X Combine like terms: 6X + -6X = 0 -14 + -8X = 0 Add '14' to each side of the equation. -14 + 14 + -8X = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -8X = 0 + 14 -8X = 0 + 14 Combine like terms: 0 + 14 = 14 -8X = 14 Divide each side by '-8'. X = -1.75 Simplifying X = -1.75
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