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Simplifying -5(-2x + -3) + -3x + -4 = -38 Reorder the terms: -5(-3 + -2x) + -3x + -4 = -38 (-3 * -5 + -2x * -5) + -3x + -4 = -38 (15 + 10x) + -3x + -4 = -38 Reorder the terms: 15 + -4 + 10x + -3x = -38 Combine like terms: 15 + -4 = 11 11 + 10x + -3x = -38 Combine like terms: 10x + -3x = 7x 11 + 7x = -38 Solving 11 + 7x = -38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 7x = -38 + -11 Combine like terms: 11 + -11 = 0 0 + 7x = -38 + -11 7x = -38 + -11 Combine like terms: -38 + -11 = -49 7x = -49 Divide each side by '7'. x = -7 Simplifying x = -7
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