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Simplifying -2(x + 3) + -4(x + -5) = 38 Reorder the terms: -2(3 + x) + -4(x + -5) = 38 (3 * -2 + x * -2) + -4(x + -5) = 38 (-6 + -2x) + -4(x + -5) = 38 Reorder the terms: -6 + -2x + -4(-5 + x) = 38 -6 + -2x + (-5 * -4 + x * -4) = 38 -6 + -2x + (20 + -4x) = 38 Reorder the terms: -6 + 20 + -2x + -4x = 38 Combine like terms: -6 + 20 = 14 14 + -2x + -4x = 38 Combine like terms: -2x + -4x = -6x 14 + -6x = 38 Solving 14 + -6x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -6x = 38 + -14 Combine like terms: 14 + -14 = 0 0 + -6x = 38 + -14 -6x = 38 + -14 Combine like terms: 38 + -14 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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