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Simplifying 10x + -5(X + -6) = 5x + -5 Reorder the terms: 10x + -5(-6 + X) = 5x + -5 10x + (-6 * -5 + X * -5) = 5x + -5 10x + (30 + -5X) = 5x + -5 Reorder the terms: 30 + -5X + 10x = 5x + -5 Reorder the terms: 30 + -5X + 10x = -5 + 5x Solving 30 + -5X + 10x = -5 + 5x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -5X + -30 + 10x = -5 + -30 + 5x Reorder the terms: 30 + -30 + -5X + 10x = -5 + -30 + 5x Combine like terms: 30 + -30 = 0 0 + -5X + 10x = -5 + -30 + 5x -5X + 10x = -5 + -30 + 5x Combine like terms: -5 + -30 = -35 -5X + 10x = -35 + 5x Add '-10x' to each side of the equation. -5X + 10x + -10x = -35 + 5x + -10x Combine like terms: 10x + -10x = 0 -5X + 0 = -35 + 5x + -10x -5X = -35 + 5x + -10x Combine like terms: 5x + -10x = -5x -5X = -35 + -5x Divide each side by '-5'. X = 7 + x Simplifying X = 7 + x
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