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Simplifying 7(7 + -5x) = -38 + -6x (7 * 7 + -5x * 7) = -38 + -6x (49 + -35x) = -38 + -6x Solving 49 + -35x = -38 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 49 + -35x + 6x = -38 + -6x + 6x Combine like terms: -35x + 6x = -29x 49 + -29x = -38 + -6x + 6x Combine like terms: -6x + 6x = 0 49 + -29x = -38 + 0 49 + -29x = -38 Add '-49' to each side of the equation. 49 + -49 + -29x = -38 + -49 Combine like terms: 49 + -49 = 0 0 + -29x = -38 + -49 -29x = -38 + -49 Combine like terms: -38 + -49 = -87 -29x = -87 Divide each side by '-29'. x = 3 Simplifying x = 3
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