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Simplifying x(x + 5) + 3(x + -2) = 6(x + 2) + x * x Reorder the terms: x(5 + x) + 3(x + -2) = 6(x + 2) + x * x (5 * x + x * x) + 3(x + -2) = 6(x + 2) + x * x (5x + x2) + 3(x + -2) = 6(x + 2) + x * x Reorder the terms: 5x + x2 + 3(-2 + x) = 6(x + 2) + x * x 5x + x2 + (-2 * 3 + x * 3) = 6(x + 2) + x * x 5x + x2 + (-6 + 3x) = 6(x + 2) + x * x Reorder the terms: -6 + 5x + 3x + x2 = 6(x + 2) + x * x Combine like terms: 5x + 3x = 8x -6 + 8x + x2 = 6(x + 2) + x * x Reorder the terms: -6 + 8x + x2 = 6(2 + x) + x * x -6 + 8x + x2 = (2 * 6 + x * 6) + x * x -6 + 8x + x2 = (12 + 6x) + x * x Multiply x * x -6 + 8x + x2 = 12 + 6x + x2 Add '-1x2' to each side of the equation. -6 + 8x + x2 + -1x2 = 12 + 6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6 + 8x + 0 = 12 + 6x + x2 + -1x2 -6 + 8x = 12 + 6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6 + 8x = 12 + 6x + 0 -6 + 8x = 12 + 6x Solving -6 + 8x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 8x + -6x = 12 + 6x + -6x Combine like terms: 8x + -6x = 2x -6 + 2x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 2x = 12 + 0 -6 + 2x = 12 Add '6' to each side of the equation. -6 + 6 + 2x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 12 + 6 2x = 12 + 6 Combine like terms: 12 + 6 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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