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Simplifying 4(X + 10) = 3X + -38 Reorder the terms: 4(10 + X) = 3X + -38 (10 * 4 + X * 4) = 3X + -38 (40 + 4X) = 3X + -38 Reorder the terms: 40 + 4X = -38 + 3X Solving 40 + 4X = -38 + 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. 40 + 4X + -3X = -38 + 3X + -3X Combine like terms: 4X + -3X = 1X 40 + 1X = -38 + 3X + -3X Combine like terms: 3X + -3X = 0 40 + 1X = -38 + 0 40 + 1X = -38 Add '-40' to each side of the equation. 40 + -40 + 1X = -38 + -40 Combine like terms: 40 + -40 = 0 0 + 1X = -38 + -40 1X = -38 + -40 Combine like terms: -38 + -40 = -78 1X = -78 Divide each side by '1'. X = -78 Simplifying X = -78
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