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Simplifying -4(2 + x) + 6(x + -6) = -56 (2 * -4 + x * -4) + 6(x + -6) = -56 (-8 + -4x) + 6(x + -6) = -56 Reorder the terms: -8 + -4x + 6(-6 + x) = -56 -8 + -4x + (-6 * 6 + x * 6) = -56 -8 + -4x + (-36 + 6x) = -56 Reorder the terms: -8 + -36 + -4x + 6x = -56 Combine like terms: -8 + -36 = -44 -44 + -4x + 6x = -56 Combine like terms: -4x + 6x = 2x -44 + 2x = -56 Solving -44 + 2x = -56 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 2x = -56 + 44 Combine like terms: -44 + 44 = 0 0 + 2x = -56 + 44 2x = -56 + 44 Combine like terms: -56 + 44 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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