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Simplifying 0.1x + 0.10x + 0.25(44 + -2x) = 5.15 0.1x + 0.10x + (44 * 0.25 + -2x * 0.25) = 5.15 0.1x + 0.10x + (11 + -0.5x) = 5.15 Reorder the terms: 11 + 0.1x + 0.10x + -0.5x = 5.15 Combine like terms: 0.1x + 0.10x = 0.2x 11 + 0.2x + -0.5x = 5.15 Combine like terms: 0.2x + -0.5x = -0.3x 11 + -0.3x = 5.15 Solving 11 + -0.3x = 5.15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -0.3x = 5.15 + -11 Combine like terms: 11 + -11 = 0 0 + -0.3x = 5.15 + -11 -0.3x = 5.15 + -11 Combine like terms: 5.15 + -11 = -5.85 -0.3x = -5.85 Divide each side by '-0.3'. x = 19.5 Simplifying x = 19.5
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