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Simplifying 2X + 2X + -14 = 2(X + 9) + 2(X + 2) + 2(X + -7) Reorder the terms: -14 + 2X + 2X = 2(X + 9) + 2(X + 2) + 2(X + -7) Combine like terms: 2X + 2X = 4X -14 + 4X = 2(X + 9) + 2(X + 2) + 2(X + -7) Reorder the terms: -14 + 4X = 2(9 + X) + 2(X + 2) + 2(X + -7) -14 + 4X = (9 * 2 + X * 2) + 2(X + 2) + 2(X + -7) -14 + 4X = (18 + 2X) + 2(X + 2) + 2(X + -7) Reorder the terms: -14 + 4X = 18 + 2X + 2(2 + X) + 2(X + -7) -14 + 4X = 18 + 2X + (2 * 2 + X * 2) + 2(X + -7) -14 + 4X = 18 + 2X + (4 + 2X) + 2(X + -7) Reorder the terms: -14 + 4X = 18 + 2X + 4 + 2X + 2(-7 + X) -14 + 4X = 18 + 2X + 4 + 2X + (-7 * 2 + X * 2) -14 + 4X = 18 + 2X + 4 + 2X + (-14 + 2X) Reorder the terms: -14 + 4X = 18 + 4 + -14 + 2X + 2X + 2X Combine like terms: 18 + 4 = 22 -14 + 4X = 22 + -14 + 2X + 2X + 2X Combine like terms: 22 + -14 = 8 -14 + 4X = 8 + 2X + 2X + 2X Combine like terms: 2X + 2X = 4X -14 + 4X = 8 + 4X + 2X Combine like terms: 4X + 2X = 6X -14 + 4X = 8 + 6X Solving -14 + 4X = 8 + 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 + 4X + -6X = 8 + 6X + -6X Combine like terms: 4X + -6X = -2X -14 + -2X = 8 + 6X + -6X Combine like terms: 6X + -6X = 0 -14 + -2X = 8 + 0 -14 + -2X = 8 Add '14' to each side of the equation. -14 + 14 + -2X = 8 + 14 Combine like terms: -14 + 14 = 0 0 + -2X = 8 + 14 -2X = 8 + 14 Combine like terms: 8 + 14 = 22 -2X = 22 Divide each side by '-2'. X = -11 Simplifying X = -11
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