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Simplifying (5 + 7)(5 + 2x) = 35 + -6.5(x + 4) Combine like terms: 5 + 7 = 12 (12)(5 + 2x) = 35 + -6.5(x + 4) (5 * 12 + 2x * 12) = 35 + -6.5(x + 4) (60 + 24x) = 35 + -6.5(x + 4) Reorder the terms: 60 + 24x = 35 + -6.5(4 + x) 60 + 24x = 35 + (4 * -6.5 + x * -6.5) 60 + 24x = 35 + (-26 + -6.5x) Combine like terms: 35 + -26 = 9 60 + 24x = 9 + -6.5x Solving 60 + 24x = 9 + -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. 60 + 24x + 6.5x = 9 + -6.5x + 6.5x Combine like terms: 24x + 6.5x = 30.5x 60 + 30.5x = 9 + -6.5x + 6.5x Combine like terms: -6.5x + 6.5x = 0.0 60 + 30.5x = 9 + 0.0 60 + 30.5x = 9 Add '-60' to each side of the equation. 60 + -60 + 30.5x = 9 + -60 Combine like terms: 60 + -60 = 0 0 + 30.5x = 9 + -60 30.5x = 9 + -60 Combine like terms: 9 + -60 = -51 30.5x = -51 Divide each side by '30.5'. x = -1.672131148 Simplifying x = -1.672131148
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