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Simplifying 6(x + -8) + -4(x + -1) + 9x = 0 Reorder the terms: 6(-8 + x) + -4(x + -1) + 9x = 0 (-8 * 6 + x * 6) + -4(x + -1) + 9x = 0 (-48 + 6x) + -4(x + -1) + 9x = 0 Reorder the terms: -48 + 6x + -4(-1 + x) + 9x = 0 -48 + 6x + (-1 * -4 + x * -4) + 9x = 0 -48 + 6x + (4 + -4x) + 9x = 0 Reorder the terms: -48 + 4 + 6x + -4x + 9x = 0 Combine like terms: -48 + 4 = -44 -44 + 6x + -4x + 9x = 0 Combine like terms: 6x + -4x = 2x -44 + 2x + 9x = 0 Combine like terms: 2x + 9x = 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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