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Simplifying 6(x + -6) + -4(x + -1) + 9x = 0 Reorder the terms: 6(-6 + x) + -4(x + -1) + 9x = 0 (-6 * 6 + x * 6) + -4(x + -1) + 9x = 0 (-36 + 6x) + -4(x + -1) + 9x = 0 Reorder the terms: -36 + 6x + -4(-1 + x) + 9x = 0 -36 + 6x + (-1 * -4 + x * -4) + 9x = 0 -36 + 6x + (4 + -4x) + 9x = 0 Reorder the terms: -36 + 4 + 6x + -4x + 9x = 0 Combine like terms: -36 + 4 = -32 -32 + 6x + -4x + 9x = 0 Combine like terms: 6x + -4x = 2x -32 + 2x + 9x = 0 Combine like terms: 2x + 9x = 11x -32 + 11x = 0 Solving -32 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 11x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 11x = 0 + 32 11x = 0 + 32 Combine like terms: 0 + 32 = 32 11x = 32 Divide each side by '11'. x = 2.909090909 Simplifying x = 2.909090909
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