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Simplifying x(x + 8) + -1x(x + 3) + -23 = 3x + 11 Reorder the terms: x(8 + x) + -1x(x + 3) + -23 = 3x + 11 (8 * x + x * x) + -1x(x + 3) + -23 = 3x + 11 (8x + x2) + -1x(x + 3) + -23 = 3x + 11 Reorder the terms: 8x + x2 + -1x(3 + x) + -23 = 3x + 11 8x + x2 + (3 * -1x + x * -1x) + -23 = 3x + 11 8x + x2 + (-3x + -1x2) + -23 = 3x + 11 Reorder the terms: -23 + 8x + -3x + x2 + -1x2 = 3x + 11 Combine like terms: 8x + -3x = 5x -23 + 5x + x2 + -1x2 = 3x + 11 Combine like terms: x2 + -1x2 = 0 -23 + 5x + 0 = 3x + 11 -23 + 5x = 3x + 11 Reorder the terms: -23 + 5x = 11 + 3x Solving -23 + 5x = 11 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -23 + 5x + -3x = 11 + 3x + -3x Combine like terms: 5x + -3x = 2x -23 + 2x = 11 + 3x + -3x Combine like terms: 3x + -3x = 0 -23 + 2x = 11 + 0 -23 + 2x = 11 Add '23' to each side of the equation. -23 + 23 + 2x = 11 + 23 Combine like terms: -23 + 23 = 0 0 + 2x = 11 + 23 2x = 11 + 23 Combine like terms: 11 + 23 = 34 2x = 34 Divide each side by '2'. x = 17 Simplifying x = 17
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