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Simplifying 0.5(5x + 10) = 1.1 + -1(x + 2) Reorder the terms: 0.5(10 + 5x) = 1.1 + -1(x + 2) (10 * 0.5 + 5x * 0.5) = 1.1 + -1(x + 2) (5 + 2.5x) = 1.1 + -1(x + 2) Reorder the terms: 5 + 2.5x = 1.1 + -1(2 + x) 5 + 2.5x = 1.1 + (2 * -1 + x * -1) 5 + 2.5x = 1.1 + (-2 + -1x) Combine like terms: 1.1 + -2 = -0.9 5 + 2.5x = -0.9 + -1x Solving 5 + 2.5x = -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. 5 + 2.5x + x = -0.9 + -1x + x Combine like terms: 2.5x + x = 3.5x 5 + 3.5x = -0.9 + -1x + x Combine like terms: -1x + x = 0 5 + 3.5x = -0.9 + 0 5 + 3.5x = -0.9 Add '-5' to each side of the equation. 5 + -5 + 3.5x = -0.9 + -5 Combine like terms: 5 + -5 = 0 0 + 3.5x = -0.9 + -5 3.5x = -0.9 + -5 Combine like terms: -0.9 + -5 = -5.9 3.5x = -5.9 Divide each side by '3.5'. x = -1.685714286 Simplifying x = -1.685714286
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