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Simplifying 8(x + -8) + -4(x + -5) + 7x = 0 Reorder the terms: 8(-8 + x) + -4(x + -5) + 7x = 0 (-8 * 8 + x * 8) + -4(x + -5) + 7x = 0 (-64 + 8x) + -4(x + -5) + 7x = 0 Reorder the terms: -64 + 8x + -4(-5 + x) + 7x = 0 -64 + 8x + (-5 * -4 + x * -4) + 7x = 0 -64 + 8x + (20 + -4x) + 7x = 0 Reorder the terms: -64 + 20 + 8x + -4x + 7x = 0 Combine like terms: -64 + 20 = -44 -44 + 8x + -4x + 7x = 0 Combine like terms: 8x + -4x = 4x -44 + 4x + 7x = 0 Combine like terms: 4x + 7x = 11x -44 + 11x = 0 Solving -44 + 11x = 0 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 + 11x = 0 + 44 Combine like terms: -44 + 44 = 0 0 + 11x = 0 + 44 11x = 0 + 44 Combine like terms: 0 + 44 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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