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Simplifying 4(X + -3) + 2 = 5(X + -2) Reorder the terms: 4(-3 + X) + 2 = 5(X + -2) (-3 * 4 + X * 4) + 2 = 5(X + -2) (-12 + 4X) + 2 = 5(X + -2) Reorder the terms: -12 + 2 + 4X = 5(X + -2) Combine like terms: -12 + 2 = -10 -10 + 4X = 5(X + -2) Reorder the terms: -10 + 4X = 5(-2 + X) -10 + 4X = (-2 * 5 + X * 5) -10 + 4X = (-10 + 5X) Add '10' to each side of the equation. -10 + 10 + 4X = -10 + 10 + 5X Combine like terms: -10 + 10 = 0 0 + 4X = -10 + 10 + 5X 4X = -10 + 10 + 5X Combine like terms: -10 + 10 = 0 4X = 0 + 5X 4X = 5X Solving 4X = 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. 4X + -5X = 5X + -5X Combine like terms: 4X + -5X = -1X -1X = 5X + -5X Combine like terms: 5X + -5X = 0 -1X = 0 Divide each side by '-1'. X = 0 Simplifying X = 0
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