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Simplifying -4(5x + 9) + 4(x + -7) = 0 Reorder the terms: -4(9 + 5x) + 4(x + -7) = 0 (9 * -4 + 5x * -4) + 4(x + -7) = 0 (-36 + -20x) + 4(x + -7) = 0 Reorder the terms: -36 + -20x + 4(-7 + x) = 0 -36 + -20x + (-7 * 4 + x * 4) = 0 -36 + -20x + (-28 + 4x) = 0 Reorder the terms: -36 + -28 + -20x + 4x = 0 Combine like terms: -36 + -28 = -64 -64 + -20x + 4x = 0 Combine like terms: -20x + 4x = -16x -64 + -16x = 0 Solving -64 + -16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + -16x = 0 + 64 Combine like terms: -64 + 64 = 0 0 + -16x = 0 + 64 -16x = 0 + 64 Combine like terms: 0 + 64 = 64 -16x = 64 Divide each side by '-16'. x = -4 Simplifying x = -4
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