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Simplifying 4(X + -2) = 5(X + -4) Reorder the terms: 4(-2 + X) = 5(X + -4) (-2 * 4 + X * 4) = 5(X + -4) (-8 + 4X) = 5(X + -4) Reorder the terms: -8 + 4X = 5(-4 + X) -8 + 4X = (-4 * 5 + X * 5) -8 + 4X = (-20 + 5X) Solving -8 + 4X = -20 + 5X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-5X' to each side of the equation. -8 + 4X + -5X = -20 + 5X + -5X Combine like terms: 4X + -5X = -1X -8 + -1X = -20 + 5X + -5X Combine like terms: 5X + -5X = 0 -8 + -1X = -20 + 0 -8 + -1X = -20 Add '8' to each side of the equation. -8 + 8 + -1X = -20 + 8 Combine like terms: -8 + 8 = 0 0 + -1X = -20 + 8 -1X = -20 + 8 Combine like terms: -20 + 8 = -12 -1X = -12 Divide each side by '-1'. X = 12 Simplifying X = 12
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