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Simplifying x(3x + 2) + -9(x2 + -7x) = 6x(10 + -1x) Reorder the terms: x(2 + 3x) + -9(x2 + -7x) = 6x(10 + -1x) (2 * x + 3x * x) + -9(x2 + -7x) = 6x(10 + -1x) (2x + 3x2) + -9(x2 + -7x) = 6x(10 + -1x) Reorder the terms: 2x + 3x2 + -9(-7x + x2) = 6x(10 + -1x) 2x + 3x2 + (-7x * -9 + x2 * -9) = 6x(10 + -1x) 2x + 3x2 + (63x + -9x2) = 6x(10 + -1x) Reorder the terms: 2x + 63x + 3x2 + -9x2 = 6x(10 + -1x) Combine like terms: 2x + 63x = 65x 65x + 3x2 + -9x2 = 6x(10 + -1x) Combine like terms: 3x2 + -9x2 = -6x2 65x + -6x2 = 6x(10 + -1x) 65x + -6x2 = (10 * 6x + -1x * 6x) 65x + -6x2 = (60x + -6x2) Add '6x2' to each side of the equation. 65x + -6x2 + 6x2 = 60x + -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 65x + 0 = 60x + -6x2 + 6x2 65x = 60x + -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 65x = 60x + 0 65x = 60x Solving 65x = 60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60x' to each side of the equation. 65x + -60x = 60x + -60x Combine like terms: 65x + -60x = 5x 5x = 60x + -60x Combine like terms: 60x + -60x = 0 5x = 0 Divide each side by '5'. x = 0 Simplifying x = 0
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