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Simplifying 5(X + -3) + -10 = 3(2 + -1X) + 17 Reorder the terms: 5(-3 + X) + -10 = 3(2 + -1X) + 17 (-3 * 5 + X * 5) + -10 = 3(2 + -1X) + 17 (-15 + 5X) + -10 = 3(2 + -1X) + 17 Reorder the terms: -15 + -10 + 5X = 3(2 + -1X) + 17 Combine like terms: -15 + -10 = -25 -25 + 5X = 3(2 + -1X) + 17 -25 + 5X = (2 * 3 + -1X * 3) + 17 -25 + 5X = (6 + -3X) + 17 Reorder the terms: -25 + 5X = 6 + 17 + -3X Combine like terms: 6 + 17 = 23 -25 + 5X = 23 + -3X Solving -25 + 5X = 23 + -3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '3X' to each side of the equation. -25 + 5X + 3X = 23 + -3X + 3X Combine like terms: 5X + 3X = 8X -25 + 8X = 23 + -3X + 3X Combine like terms: -3X + 3X = 0 -25 + 8X = 23 + 0 -25 + 8X = 23 Add '25' to each side of the equation. -25 + 25 + 8X = 23 + 25 Combine like terms: -25 + 25 = 0 0 + 8X = 23 + 25 8X = 23 + 25 Combine like terms: 23 + 25 = 48 8X = 48 Divide each side by '8'. X = 6 Simplifying X = 6
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