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Simplifying 7x + -3(-5x + -2) = -38 Reorder the terms: 7x + -3(-2 + -5x) = -38 7x + (-2 * -3 + -5x * -3) = -38 7x + (6 + 15x) = -38 Reorder the terms: 6 + 7x + 15x = -38 Combine like terms: 7x + 15x = 22x 6 + 22x = -38 Solving 6 + 22x = -38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 22x = -38 + -6 Combine like terms: 6 + -6 = 0 0 + 22x = -38 + -6 22x = -38 + -6 Combine like terms: -38 + -6 = -44 22x = -44 Divide each side by '22'. x = -2 Simplifying x = -2
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