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Simplifying (3 + 8)(5 + 5x) = 10 + -2.5(x + 2) Combine like terms: 3 + 8 = 11 (11)(5 + 5x) = 10 + -2.5(x + 2) (5 * 11 + 5x * 11) = 10 + -2.5(x + 2) (55 + 55x) = 10 + -2.5(x + 2) Reorder the terms: 55 + 55x = 10 + -2.5(2 + x) 55 + 55x = 10 + (2 * -2.5 + x * -2.5) 55 + 55x = 10 + (-5 + -2.5x) Combine like terms: 10 + -5 = 5 55 + 55x = 5 + -2.5x Solving 55 + 55x = 5 + -2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5x' to each side of the equation. 55 + 55x + 2.5x = 5 + -2.5x + 2.5x Combine like terms: 55x + 2.5x = 57.5x 55 + 57.5x = 5 + -2.5x + 2.5x Combine like terms: -2.5x + 2.5x = 0.0 55 + 57.5x = 5 + 0.0 55 + 57.5x = 5 Add '-55' to each side of the equation. 55 + -55 + 57.5x = 5 + -55 Combine like terms: 55 + -55 = 0 0 + 57.5x = 5 + -55 57.5x = 5 + -55 Combine like terms: 5 + -55 = -50 57.5x = -50 Divide each side by '57.5'. x = -0.8695652174 Simplifying x = -0.8695652174
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