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Simplifying 6(x + -8) + -2(x + -1) + 9x = 0 Reorder the terms: 6(-8 + x) + -2(x + -1) + 9x = 0 (-8 * 6 + x * 6) + -2(x + -1) + 9x = 0 (-48 + 6x) + -2(x + -1) + 9x = 0 Reorder the terms: -48 + 6x + -2(-1 + x) + 9x = 0 -48 + 6x + (-1 * -2 + x * -2) + 9x = 0 -48 + 6x + (2 + -2x) + 9x = 0 Reorder the terms: -48 + 2 + 6x + -2x + 9x = 0 Combine like terms: -48 + 2 = -46 -46 + 6x + -2x + 9x = 0 Combine like terms: 6x + -2x = 4x -46 + 4x + 9x = 0 Combine like terms: 4x + 9x = 13x -46 + 13x = 0 Solving -46 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + 13x = 0 + 46 Combine like terms: -46 + 46 = 0 0 + 13x = 0 + 46 13x = 0 + 46 Combine like terms: 0 + 46 = 46 13x = 46 Divide each side by '13'. x = 3.538461538 Simplifying x = 3.538461538
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