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Simplifying 0.25x + 0.10(13 + -1x) = 2.50 0.25x + (13 * 0.10 + -1x * 0.10) = 2.50 0.25x + (1.3 + -0.1x) = 2.50 Reorder the terms: 1.3 + 0.25x + -0.1x = 2.50 Combine like terms: 0.25x + -0.1x = 0.15x 1.3 + 0.15x = 2.50 Solving 1.3 + 0.15x = 2.50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.3' to each side of the equation. 1.3 + -1.3 + 0.15x = 2.50 + -1.3 Combine like terms: 1.3 + -1.3 = 0.0 0.0 + 0.15x = 2.50 + -1.3 0.15x = 2.50 + -1.3 Combine like terms: 2.50 + -1.3 = 1.2 0.15x = 1.2 Divide each side by '0.15'. x = 8 Simplifying x = 8
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