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Simplifying 4(X + -2) = 2(X + 7) + -4 Reorder the terms: 4(-2 + X) = 2(X + 7) + -4 (-2 * 4 + X * 4) = 2(X + 7) + -4 (-8 + 4X) = 2(X + 7) + -4 Reorder the terms: -8 + 4X = 2(7 + X) + -4 -8 + 4X = (7 * 2 + X * 2) + -4 -8 + 4X = (14 + 2X) + -4 Reorder the terms: -8 + 4X = 14 + -4 + 2X Combine like terms: 14 + -4 = 10 -8 + 4X = 10 + 2X Solving -8 + 4X = 10 + 2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2X' to each side of the equation. -8 + 4X + -2X = 10 + 2X + -2X Combine like terms: 4X + -2X = 2X -8 + 2X = 10 + 2X + -2X Combine like terms: 2X + -2X = 0 -8 + 2X = 10 + 0 -8 + 2X = 10 Add '8' to each side of the equation. -8 + 8 + 2X = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 2X = 10 + 8 2X = 10 + 8 Combine like terms: 10 + 8 = 18 2X = 18 Divide each side by '2'. X = 9 Simplifying X = 9
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