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Simplifying x(x + 10) = (x + 8) * x + -3 Reorder the terms: x(10 + x) = (x + 8) * x + -3 (10 * x + x * x) = (x + 8) * x + -3 (10x + x2) = (x + 8) * x + -3 Reorder the terms: 10x + x2 = (8 + x) * x + -3 Reorder the terms for easier multiplication: 10x + x2 = x(8 + x) + -3 10x + x2 = (8 * x + x * x) + -3 10x + x2 = (8x + x2) + -3 Reorder the terms: 10x + x2 = -3 + 8x + x2 Add '-1x2' to each side of the equation. 10x + x2 + -1x2 = -3 + 8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 10x + 0 = -3 + 8x + x2 + -1x2 10x = -3 + 8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 10x = -3 + 8x + 0 10x = -3 + 8x Solving 10x = -3 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 10x + -8x = -3 + 8x + -8x Combine like terms: 10x + -8x = 2x 2x = -3 + 8x + -8x Combine like terms: 8x + -8x = 0 2x = -3 + 0 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5
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