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Simplifying 0.9x + -0.5x + 1 = 5 Reorder the terms: 1 + 0.9x + -0.5x = 5 Combine like terms: 0.9x + -0.5x = 0.4x 1 + 0.4x = 5 Solving 1 + 0.4x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 0.4x = 5 + -1 Combine like terms: 1 + -1 = 0 0 + 0.4x = 5 + -1 0.4x = 5 + -1 Combine like terms: 5 + -1 = 4 0.4x = 4 Divide each side by '0.4'. x = 10 Simplifying x = 10
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