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Simplifying -2x + 38 = 6(7x + -1) Reorder the terms: 38 + -2x = 6(7x + -1) Reorder the terms: 38 + -2x = 6(-1 + 7x) 38 + -2x = (-1 * 6 + 7x * 6) 38 + -2x = (-6 + 42x) Solving 38 + -2x = -6 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 38 + -2x + -42x = -6 + 42x + -42x Combine like terms: -2x + -42x = -44x 38 + -44x = -6 + 42x + -42x Combine like terms: 42x + -42x = 0 38 + -44x = -6 + 0 38 + -44x = -6 Add '-38' to each side of the equation. 38 + -38 + -44x = -6 + -38 Combine like terms: 38 + -38 = 0 0 + -44x = -6 + -38 -44x = -6 + -38 Combine like terms: -6 + -38 = -44 -44x = -44 Divide each side by '-44'. x = 1 Simplifying x = 1
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