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Simplifying 5(x + -7) + 31 = 5X + -4 Reorder the terms: 5(-7 + x) + 31 = 5X + -4 (-7 * 5 + x * 5) + 31 = 5X + -4 (-35 + 5x) + 31 = 5X + -4 Reorder the terms: -35 + 31 + 5x = 5X + -4 Combine like terms: -35 + 31 = -4 -4 + 5x = 5X + -4 Reorder the terms: -4 + 5x = -4 + 5X Add '4' to each side of the equation. -4 + 4 + 5x = -4 + 4 + 5X Combine like terms: -4 + 4 = 0 0 + 5x = -4 + 4 + 5X 5x = -4 + 4 + 5X Combine like terms: -4 + 4 = 0 5x = 0 + 5X 5x = 5X Solving 5x = 5X Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '5'. x = X Simplifying x = X
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