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Simplifying 3(5X + 2) + -7X + -4 = 3(X + 4) + 2X + -4 Reorder the terms: 3(2 + 5X) + -7X + -4 = 3(X + 4) + 2X + -4 (2 * 3 + 5X * 3) + -7X + -4 = 3(X + 4) + 2X + -4 (6 + 15X) + -7X + -4 = 3(X + 4) + 2X + -4 Reorder the terms: 6 + -4 + 15X + -7X = 3(X + 4) + 2X + -4 Combine like terms: 6 + -4 = 2 2 + 15X + -7X = 3(X + 4) + 2X + -4 Combine like terms: 15X + -7X = 8X 2 + 8X = 3(X + 4) + 2X + -4 Reorder the terms: 2 + 8X = 3(4 + X) + 2X + -4 2 + 8X = (4 * 3 + X * 3) + 2X + -4 2 + 8X = (12 + 3X) + 2X + -4 Reorder the terms: 2 + 8X = 12 + -4 + 3X + 2X Combine like terms: 12 + -4 = 8 2 + 8X = 8 + 3X + 2X Combine like terms: 3X + 2X = 5X 2 + 8X = 8 + 5X Solving 2 + 8X = 8 + 5X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-5X' to each side of the equation. 2 + 8X + -5X = 8 + 5X + -5X Combine like terms: 8X + -5X = 3X 2 + 3X = 8 + 5X + -5X Combine like terms: 5X + -5X = 0 2 + 3X = 8 + 0 2 + 3X = 8 Add '-2' to each side of the equation. 2 + -2 + 3X = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 3X = 8 + -2 3X = 8 + -2 Combine like terms: 8 + -2 = 6 3X = 6 Divide each side by '3'. X = 2 Simplifying X = 2
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