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Simplifying 2x(3x + -6) + 5x = 6x2 + 9 Reorder the terms: 2x(-6 + 3x) + 5x = 6x2 + 9 (-6 * 2x + 3x * 2x) + 5x = 6x2 + 9 (-12x + 6x2) + 5x = 6x2 + 9 Reorder the terms: -12x + 5x + 6x2 = 6x2 + 9 Combine like terms: -12x + 5x = -7x -7x + 6x2 = 6x2 + 9 Reorder the terms: -7x + 6x2 = 9 + 6x2 Add '-6x2' to each side of the equation. -7x + 6x2 + -6x2 = 9 + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -7x + 0 = 9 + 6x2 + -6x2 -7x = 9 + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -7x = 9 + 0 -7x = 9 Solving -7x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-7'. x = -1.285714286 Simplifying x = -1.285714286
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