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Simplifying 8(x + -4) + -6(x + -1) + 9x = 0 Reorder the terms: 8(-4 + x) + -6(x + -1) + 9x = 0 (-4 * 8 + x * 8) + -6(x + -1) + 9x = 0 (-32 + 8x) + -6(x + -1) + 9x = 0 Reorder the terms: -32 + 8x + -6(-1 + x) + 9x = 0 -32 + 8x + (-1 * -6 + x * -6) + 9x = 0 -32 + 8x + (6 + -6x) + 9x = 0 Reorder the terms: -32 + 6 + 8x + -6x + 9x = 0 Combine like terms: -32 + 6 = -26 -26 + 8x + -6x + 9x = 0 Combine like terms: 8x + -6x = 2x -26 + 2x + 9x = 0 Combine like terms: 2x + 9x = 11x -26 + 11x = 0 Solving -26 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 11x = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 11x = 0 + 26 11x = 0 + 26 Combine like terms: 0 + 26 = 26 11x = 26 Divide each side by '11'. x = 2.363636364 Simplifying x = 2.363636364
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