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Simplifying 9(x + -5) + -5(x + -2) + 6x = 0 Reorder the terms: 9(-5 + x) + -5(x + -2) + 6x = 0 (-5 * 9 + x * 9) + -5(x + -2) + 6x = 0 (-45 + 9x) + -5(x + -2) + 6x = 0 Reorder the terms: -45 + 9x + -5(-2 + x) + 6x = 0 -45 + 9x + (-2 * -5 + x * -5) + 6x = 0 -45 + 9x + (10 + -5x) + 6x = 0 Reorder the terms: -45 + 10 + 9x + -5x + 6x = 0 Combine like terms: -45 + 10 = -35 -35 + 9x + -5x + 6x = 0 Combine like terms: 9x + -5x = 4x -35 + 4x + 6x = 0 Combine like terms: 4x + 6x = 10x -35 + 10x = 0 Solving -35 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 10x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 10x = 0 + 35 10x = 0 + 35 Combine like terms: 0 + 35 = 35 10x = 35 Divide each side by '10'. x = 3.5 Simplifying x = 3.5
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