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Simplifying -8(4x + 2) + 5x = 38 Reorder the terms: -8(2 + 4x) + 5x = 38 (2 * -8 + 4x * -8) + 5x = 38 (-16 + -32x) + 5x = 38 Combine like terms: -32x + 5x = -27x -16 + -27x = 38 Solving -16 + -27x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -27x = 38 + 16 Combine like terms: -16 + 16 = 0 0 + -27x = 38 + 16 -27x = 38 + 16 Combine like terms: 38 + 16 = 54 -27x = 54 Divide each side by '-27'. x = -2 Simplifying x = -2
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