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Simplifying 6(x + -6) + -2(x + -1) + 9x = 0 Reorder the terms: 6(-6 + x) + -2(x + -1) + 9x = 0 (-6 * 6 + x * 6) + -2(x + -1) + 9x = 0 (-36 + 6x) + -2(x + -1) + 9x = 0 Reorder the terms: -36 + 6x + -2(-1 + x) + 9x = 0 -36 + 6x + (-1 * -2 + x * -2) + 9x = 0 -36 + 6x + (2 + -2x) + 9x = 0 Reorder the terms: -36 + 2 + 6x + -2x + 9x = 0 Combine like terms: -36 + 2 = -34 -34 + 6x + -2x + 9x = 0 Combine like terms: 6x + -2x = 4x -34 + 4x + 9x = 0 Combine like terms: 4x + 9x = 13x -34 + 13x = 0 Solving -34 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 13x = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 13x = 0 + 34 13x = 0 + 34 Combine like terms: 0 + 34 = 34 13x = 34 Divide each side by '13'. x = 2.615384615 Simplifying x = 2.615384615
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