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Simplifying -1(-2 + -5x) + -5(-2x + 2) = -38 (-2 * -1 + -5x * -1) + -5(-2x + 2) = -38 (2 + 5x) + -5(-2x + 2) = -38 Reorder the terms: 2 + 5x + -5(2 + -2x) = -38 2 + 5x + (2 * -5 + -2x * -5) = -38 2 + 5x + (-10 + 10x) = -38 Reorder the terms: 2 + -10 + 5x + 10x = -38 Combine like terms: 2 + -10 = -8 -8 + 5x + 10x = -38 Combine like terms: 5x + 10x = 15x -8 + 15x = -38 Solving -8 + 15x = -38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 15x = -38 + 8 Combine like terms: -8 + 8 = 0 0 + 15x = -38 + 8 15x = -38 + 8 Combine like terms: -38 + 8 = -30 15x = -30 Divide each side by '15'. x = -2 Simplifying x = -2
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