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Simplifying (4 + 4)(5 + 5x) = 10 + -3.5(x + 4) Combine like terms: 4 + 4 = 8 (8)(5 + 5x) = 10 + -3.5(x + 4) (5 * 8 + 5x * 8) = 10 + -3.5(x + 4) (40 + 40x) = 10 + -3.5(x + 4) Reorder the terms: 40 + 40x = 10 + -3.5(4 + x) 40 + 40x = 10 + (4 * -3.5 + x * -3.5) 40 + 40x = 10 + (-14 + -3.5x) Combine like terms: 10 + -14 = -4 40 + 40x = -4 + -3.5x Solving 40 + 40x = -4 + -3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.5x' to each side of the equation. 40 + 40x + 3.5x = -4 + -3.5x + 3.5x Combine like terms: 40x + 3.5x = 43.5x 40 + 43.5x = -4 + -3.5x + 3.5x Combine like terms: -3.5x + 3.5x = 0.0 40 + 43.5x = -4 + 0.0 40 + 43.5x = -4 Add '-40' to each side of the equation. 40 + -40 + 43.5x = -4 + -40 Combine like terms: 40 + -40 = 0 0 + 43.5x = -4 + -40 43.5x = -4 + -40 Combine like terms: -4 + -40 = -44 43.5x = -44 Divide each side by '43.5'. x = -1.011494253 Simplifying x = -1.011494253
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