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Simplifying 38 + 2x = -5(-7x + -1) Reorder the terms: 38 + 2x = -5(-1 + -7x) 38 + 2x = (-1 * -5 + -7x * -5) 38 + 2x = (5 + 35x) Solving 38 + 2x = 5 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 38 + 2x + -35x = 5 + 35x + -35x Combine like terms: 2x + -35x = -33x 38 + -33x = 5 + 35x + -35x Combine like terms: 35x + -35x = 0 38 + -33x = 5 + 0 38 + -33x = 5 Add '-38' to each side of the equation. 38 + -38 + -33x = 5 + -38 Combine like terms: 38 + -38 = 0 0 + -33x = 5 + -38 -33x = 5 + -38 Combine like terms: 5 + -38 = -33 -33x = -33 Divide each side by '-33'. x = 1 Simplifying x = 1
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