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Simplifying 5(X + 3) + -1(-7 + 4X) = 3X + 16 Reorder the terms: 5(3 + X) + -1(-7 + 4X) = 3X + 16 (3 * 5 + X * 5) + -1(-7 + 4X) = 3X + 16 (15 + 5X) + -1(-7 + 4X) = 3X + 16 15 + 5X + (-7 * -1 + 4X * -1) = 3X + 16 15 + 5X + (7 + -4X) = 3X + 16 Reorder the terms: 15 + 7 + 5X + -4X = 3X + 16 Combine like terms: 15 + 7 = 22 22 + 5X + -4X = 3X + 16 Combine like terms: 5X + -4X = 1X 22 + 1X = 3X + 16 Reorder the terms: 22 + 1X = 16 + 3X Solving 22 + 1X = 16 + 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. 22 + 1X + -3X = 16 + 3X + -3X Combine like terms: 1X + -3X = -2X 22 + -2X = 16 + 3X + -3X Combine like terms: 3X + -3X = 0 22 + -2X = 16 + 0 22 + -2X = 16 Add '-22' to each side of the equation. 22 + -22 + -2X = 16 + -22 Combine like terms: 22 + -22 = 0 0 + -2X = 16 + -22 -2X = 16 + -22 Combine like terms: 16 + -22 = -6 -2X = -6 Divide each side by '-2'. X = 3 Simplifying X = 3
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