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Simplifying (4 + 4)(5 + 5x) = 15 + -6.5(x + 3) Combine like terms: 4 + 4 = 8 (8)(5 + 5x) = 15 + -6.5(x + 3) (5 * 8 + 5x * 8) = 15 + -6.5(x + 3) (40 + 40x) = 15 + -6.5(x + 3) Reorder the terms: 40 + 40x = 15 + -6.5(3 + x) 40 + 40x = 15 + (3 * -6.5 + x * -6.5) 40 + 40x = 15 + (-19.5 + -6.5x) Combine like terms: 15 + -19.5 = -4.5 40 + 40x = -4.5 + -6.5x Solving 40 + 40x = -4.5 + -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. 40 + 40x + 6.5x = -4.5 + -6.5x + 6.5x Combine like terms: 40x + 6.5x = 46.5x 40 + 46.5x = -4.5 + -6.5x + 6.5x Combine like terms: -6.5x + 6.5x = 0.0 40 + 46.5x = -4.5 + 0.0 40 + 46.5x = -4.5 Add '-40' to each side of the equation. 40 + -40 + 46.5x = -4.5 + -40 Combine like terms: 40 + -40 = 0 0 + 46.5x = -4.5 + -40 46.5x = -4.5 + -40 Combine like terms: -4.5 + -40 = -44.5 46.5x = -44.5 Divide each side by '46.5'. x = -0.9569892473 Simplifying x = -0.9569892473
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