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Simplifying 38 = -3(4x + 2) + x Reorder the terms: 38 = -3(2 + 4x) + x 38 = (2 * -3 + 4x * -3) + x 38 = (-6 + -12x) + x Combine like terms: -12x + x = -11x 38 = -6 + -11x Solving 38 = -6 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 38 + 11x = -6 + -11x + 11x Combine like terms: -11x + 11x = 0 38 + 11x = -6 + 0 38 + 11x = -6 Add '-38' to each side of the equation. 38 + -38 + 11x = -6 + -38 Combine like terms: 38 + -38 = 0 0 + 11x = -6 + -38 11x = -6 + -38 Combine like terms: -6 + -38 = -44 11x = -44 Divide each side by '11'. x = -4 Simplifying x = -4
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