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Simplifying 2x(x + 5) + -3(x2 + 2x + -1) = 9 + -5x + -1x2 Reorder the terms: 2x(5 + x) + -3(x2 + 2x + -1) = 9 + -5x + -1x2 (5 * 2x + x * 2x) + -3(x2 + 2x + -1) = 9 + -5x + -1x2 (10x + 2x2) + -3(x2 + 2x + -1) = 9 + -5x + -1x2 Reorder the terms: 10x + 2x2 + -3(-1 + 2x + x2) = 9 + -5x + -1x2 10x + 2x2 + (-1 * -3 + 2x * -3 + x2 * -3) = 9 + -5x + -1x2 10x + 2x2 + (3 + -6x + -3x2) = 9 + -5x + -1x2 Reorder the terms: 3 + 10x + -6x + 2x2 + -3x2 = 9 + -5x + -1x2 Combine like terms: 10x + -6x = 4x 3 + 4x + 2x2 + -3x2 = 9 + -5x + -1x2 Combine like terms: 2x2 + -3x2 = -1x2 3 + 4x + -1x2 = 9 + -5x + -1x2 Add 'x2' to each side of the equation. 3 + 4x + -1x2 + x2 = 9 + -5x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 3 + 4x + 0 = 9 + -5x + -1x2 + x2 3 + 4x = 9 + -5x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 3 + 4x = 9 + -5x + 0 3 + 4x = 9 + -5x Solving 3 + 4x = 9 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 3 + 4x + 5x = 9 + -5x + 5x Combine like terms: 4x + 5x = 9x 3 + 9x = 9 + -5x + 5x Combine like terms: -5x + 5x = 0 3 + 9x = 9 + 0 3 + 9x = 9 Add '-3' to each side of the equation. 3 + -3 + 9x = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 9x = 9 + -3 9x = 9 + -3 Combine like terms: 9 + -3 = 6 9x = 6 Divide each side by '9'. x = 0.6666666667 Simplifying x = 0.6666666667
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