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Simplifying 2x + -4(4x + 8) = 38 Reorder the terms: 2x + -4(8 + 4x) = 38 2x + (8 * -4 + 4x * -4) = 38 2x + (-32 + -16x) = 38 Reorder the terms: -32 + 2x + -16x = 38 Combine like terms: 2x + -16x = -14x -32 + -14x = 38 Solving -32 + -14x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -14x = 38 + 32 Combine like terms: -32 + 32 = 0 0 + -14x = 38 + 32 -14x = 38 + 32 Combine like terms: 38 + 32 = 70 -14x = 70 Divide each side by '-14'. x = -5 Simplifying x = -5
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