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Simplifying 3 + 2X + -4 + 3(x + 4) = 38 Reorder the terms: 3 + 2X + -4 + 3(4 + x) = 38 3 + 2X + -4 + (4 * 3 + x * 3) = 38 3 + 2X + -4 + (12 + 3x) = 38 Reorder the terms: 3 + -4 + 12 + 2X + 3x = 38 Combine like terms: 3 + -4 = -1 -1 + 12 + 2X + 3x = 38 Combine like terms: -1 + 12 = 11 11 + 2X + 3x = 38 Solving 11 + 2X + 3x = 38 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + 2X + -11 + 3x = 38 + -11 Reorder the terms: 11 + -11 + 2X + 3x = 38 + -11 Combine like terms: 11 + -11 = 0 0 + 2X + 3x = 38 + -11 2X + 3x = 38 + -11 Combine like terms: 38 + -11 = 27 2X + 3x = 27 Add '-3x' to each side of the equation. 2X + 3x + -3x = 27 + -3x Combine like terms: 3x + -3x = 0 2X + 0 = 27 + -3x 2X = 27 + -3x Divide each side by '2'. X = 13.5 + -1.5x Simplifying X = 13.5 + -1.5x
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