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Simplifying -38 = 5(2x + -1) + x Reorder the terms: -38 = 5(-1 + 2x) + x -38 = (-1 * 5 + 2x * 5) + x -38 = (-5 + 10x) + x Combine like terms: 10x + x = 11x -38 = -5 + 11x Solving -38 = -5 + 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 = -5 + 11x + -11x Combine like terms: 11x + -11x = 0 -38 + -11x = -5 + 0 -38 + -11x = -5 Add '38' to each side of the equation. -38 + 38 + -11x = -5 + 38 Combine like terms: -38 + 38 = 0 0 + -11x = -5 + 38 -11x = -5 + 38 Combine like terms: -5 + 38 = 33 -11x = 33 Divide each side by '-11'. x = -3 Simplifying x = -3
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