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Simplifying (8 + 2)(8 + 2x) = 10 + -6.5(x + 3) Combine like terms: 8 + 2 = 10 (10)(8 + 2x) = 10 + -6.5(x + 3) (8 * 10 + 2x * 10) = 10 + -6.5(x + 3) (80 + 20x) = 10 + -6.5(x + 3) Reorder the terms: 80 + 20x = 10 + -6.5(3 + x) 80 + 20x = 10 + (3 * -6.5 + x * -6.5) 80 + 20x = 10 + (-19.5 + -6.5x) Combine like terms: 10 + -19.5 = -9.5 80 + 20x = -9.5 + -6.5x Solving 80 + 20x = -9.5 + -6.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.5x' to each side of the equation. 80 + 20x + 6.5x = -9.5 + -6.5x + 6.5x Combine like terms: 20x + 6.5x = 26.5x 80 + 26.5x = -9.5 + -6.5x + 6.5x Combine like terms: -6.5x + 6.5x = 0.0 80 + 26.5x = -9.5 + 0.0 80 + 26.5x = -9.5 Add '-80' to each side of the equation. 80 + -80 + 26.5x = -9.5 + -80 Combine like terms: 80 + -80 = 0 0 + 26.5x = -9.5 + -80 26.5x = -9.5 + -80 Combine like terms: -9.5 + -80 = -89.5 26.5x = -89.5 Divide each side by '26.5'. x = -3.377358491 Simplifying x = -3.377358491
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