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Simplifying -2(-2 + -5x) + -5(-2x + 2) = -38 (-2 * -2 + -5x * -2) + -5(-2x + 2) = -38 (4 + 10x) + -5(-2x + 2) = -38 Reorder the terms: 4 + 10x + -5(2 + -2x) = -38 4 + 10x + (2 * -5 + -2x * -5) = -38 4 + 10x + (-10 + 10x) = -38 Reorder the terms: 4 + -10 + 10x + 10x = -38 Combine like terms: 4 + -10 = -6 -6 + 10x + 10x = -38 Combine like terms: 10x + 10x = 20x -6 + 20x = -38 Solving -6 + 20x = -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 + 20x = -38 + 6 Combine like terms: -6 + 6 = 0 0 + 20x = -38 + 6 20x = -38 + 6 Combine like terms: -38 + 6 = -32 20x = -32 Divide each side by '20'. x = -1.6 Simplifying x = -1.6
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