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Simplifying 2.5(5x + 10) = 1.1 + -1(x + 2) Reorder the terms: 2.5(10 + 5x) = 1.1 + -1(x + 2) (10 * 2.5 + 5x * 2.5) = 1.1 + -1(x + 2) (25 + 12.5x) = 1.1 + -1(x + 2) Reorder the terms: 25 + 12.5x = 1.1 + -1(2 + x) 25 + 12.5x = 1.1 + (2 * -1 + x * -1) 25 + 12.5x = 1.1 + (-2 + -1x) Combine like terms: 1.1 + -2 = -0.9 25 + 12.5x = -0.9 + -1x Solving 25 + 12.5x = -0.9 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 25 + 12.5x + x = -0.9 + -1x + x Combine like terms: 12.5x + x = 13.5x 25 + 13.5x = -0.9 + -1x + x Combine like terms: -1x + x = 0 25 + 13.5x = -0.9 + 0 25 + 13.5x = -0.9 Add '-25' to each side of the equation. 25 + -25 + 13.5x = -0.9 + -25 Combine like terms: 25 + -25 = 0 0 + 13.5x = -0.9 + -25 13.5x = -0.9 + -25 Combine like terms: -0.9 + -25 = -25.9 13.5x = -25.9 Divide each side by '13.5'. x = -1.918518519 Simplifying x = -1.918518519
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