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Simplifying 2(X + -8) + -5(X + 4) = -2(X + 18) Reorder the terms: 2(-8 + X) + -5(X + 4) = -2(X + 18) (-8 * 2 + X * 2) + -5(X + 4) = -2(X + 18) (-16 + 2X) + -5(X + 4) = -2(X + 18) Reorder the terms: -16 + 2X + -5(4 + X) = -2(X + 18) -16 + 2X + (4 * -5 + X * -5) = -2(X + 18) -16 + 2X + (-20 + -5X) = -2(X + 18) Reorder the terms: -16 + -20 + 2X + -5X = -2(X + 18) Combine like terms: -16 + -20 = -36 -36 + 2X + -5X = -2(X + 18) Combine like terms: 2X + -5X = -3X -36 + -3X = -2(X + 18) Reorder the terms: -36 + -3X = -2(18 + X) -36 + -3X = (18 * -2 + X * -2) -36 + -3X = (-36 + -2X) Add '36' to each side of the equation. -36 + 36 + -3X = -36 + 36 + -2X Combine like terms: -36 + 36 = 0 0 + -3X = -36 + 36 + -2X -3X = -36 + 36 + -2X Combine like terms: -36 + 36 = 0 -3X = 0 + -2X -3X = -2X Solving -3X = -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. -3X + 2X = -2X + 2X Combine like terms: -3X + 2X = -1X -1X = -2X + 2X Combine like terms: -2X + 2X = 0 -1X = 0 Divide each side by '-1'. X = 0 Simplifying X = 0
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