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Simplifying 2 + -5(X + -1) = 2[X + 10(X + -1)] Reorder the terms: 2 + -5(-1 + X) = 2[X + 10(X + -1)] 2 + (-1 * -5 + X * -5) = 2[X + 10(X + -1)] 2 + (5 + -5X) = 2[X + 10(X + -1)] Combine like terms: 2 + 5 = 7 7 + -5X = 2[X + 10(X + -1)] Reorder the terms: 7 + -5X = 2[X + 10(-1 + X)] 7 + -5X = 2[X + (-1 * 10 + X * 10)] 7 + -5X = 2[X + (-10 + 10X)] Reorder the terms: 7 + -5X = 2[-10 + X + 10X] Combine like terms: X + 10X = 11X 7 + -5X = 2[-10 + 11X] 7 + -5X = [-10 * 2 + 11X * 2] 7 + -5X = [-20 + 22X] Solving 7 + -5X = -20 + 22X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-22X' to each side of the equation. 7 + -5X + -22X = -20 + 22X + -22X Combine like terms: -5X + -22X = -27X 7 + -27X = -20 + 22X + -22X Combine like terms: 22X + -22X = 0 7 + -27X = -20 + 0 7 + -27X = -20 Add '-7' to each side of the equation. 7 + -7 + -27X = -20 + -7 Combine like terms: 7 + -7 = 0 0 + -27X = -20 + -7 -27X = -20 + -7 Combine like terms: -20 + -7 = -27 -27X = -27 Divide each side by '-27'. X = 1 Simplifying X = 1
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