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Simplifying 0.9x + -0.5(5 + -1x) = 3.8 0.9x + (5 * -0.5 + -1x * -0.5) = 3.8 0.9x + (-2.5 + 0.5x) = 3.8 Reorder the terms: -2.5 + 0.9x + 0.5x = 3.8 Combine like terms: 0.9x + 0.5x = 1.4x -2.5 + 1.4x = 3.8 Solving -2.5 + 1.4x = 3.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + 1.4x = 3.8 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + 1.4x = 3.8 + 2.5 1.4x = 3.8 + 2.5 Combine like terms: 3.8 + 2.5 = 6.3 1.4x = 6.3 Divide each side by '1.4'. x = 4.5 Simplifying x = 4.5
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