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Simplifying -6(5x + -1) + -2(6 + 4x) = -44 Reorder the terms: -6(-1 + 5x) + -2(6 + 4x) = -44 (-1 * -6 + 5x * -6) + -2(6 + 4x) = -44 (6 + -30x) + -2(6 + 4x) = -44 6 + -30x + (6 * -2 + 4x * -2) = -44 6 + -30x + (-12 + -8x) = -44 Reorder the terms: 6 + -12 + -30x + -8x = -44 Combine like terms: 6 + -12 = -6 -6 + -30x + -8x = -44 Combine like terms: -30x + -8x = -38x -6 + -38x = -44 Solving -6 + -38x = -44 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 + -38x = -44 + 6 Combine like terms: -6 + 6 = 0 0 + -38x = -44 + 6 -38x = -44 + 6 Combine like terms: -44 + 6 = -38 -38x = -38 Divide each side by '-38'. x = 1 Simplifying x = 1
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