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Simplifying -4(2x + 4) + 3x + 2 = -44 Reorder the terms: -4(4 + 2x) + 3x + 2 = -44 (4 * -4 + 2x * -4) + 3x + 2 = -44 (-16 + -8x) + 3x + 2 = -44 Reorder the terms: -16 + 2 + -8x + 3x = -44 Combine like terms: -16 + 2 = -14 -14 + -8x + 3x = -44 Combine like terms: -8x + 3x = -5x -14 + -5x = -44 Solving -14 + -5x = -44 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -5x = -44 + 14 Combine like terms: -14 + 14 = 0 0 + -5x = -44 + 14 -5x = -44 + 14 Combine like terms: -44 + 14 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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