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Simplifying (8 + 4)(8 + 4x) = 50 + -6.5(x + 3) Combine like terms: 8 + 4 = 12 (12)(8 + 4x) = 50 + -6.5(x + 3) (8 * 12 + 4x * 12) = 50 + -6.5(x + 3) (96 + 48x) = 50 + -6.5(x + 3) Reorder the terms: 96 + 48x = 50 + -6.5(3 + x) 96 + 48x = 50 + (3 * -6.5 + x * -6.5) 96 + 48x = 50 + (-19.5 + -6.5x) Combine like terms: 50 + -19.5 = 30.5 96 + 48x = 30.5 + -6.5x Solving 96 + 48x = 30.5 + -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. 96 + 48x + 6.5x = 30.5 + -6.5x + 6.5x Combine like terms: 48x + 6.5x = 54.5x 96 + 54.5x = 30.5 + -6.5x + 6.5x Combine like terms: -6.5x + 6.5x = 0.0 96 + 54.5x = 30.5 + 0.0 96 + 54.5x = 30.5 Add '-96' to each side of the equation. 96 + -96 + 54.5x = 30.5 + -96 Combine like terms: 96 + -96 = 0 0 + 54.5x = 30.5 + -96 54.5x = 30.5 + -96 Combine like terms: 30.5 + -96 = -65.5 54.5x = -65.5 Divide each side by '54.5'. x = -1.201834862 Simplifying x = -1.201834862
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