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Simplifying 0.10x + 0.25(46 + -1x) = 0 0.10x + (46 * 0.25 + -1x * 0.25) = 0 0.10x + (11.5 + -0.25x) = 0 Reorder the terms: 11.5 + 0.10x + -0.25x = 0 Combine like terms: 0.10x + -0.25x = -0.15x 11.5 + -0.15x = 0 Solving 11.5 + -0.15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11.5' to each side of the equation. 11.5 + -11.5 + -0.15x = 0 + -11.5 Combine like terms: 11.5 + -11.5 = 0.0 0.0 + -0.15x = 0 + -11.5 -0.15x = 0 + -11.5 Combine like terms: 0 + -11.5 = -11.5 -0.15x = -11.5 Divide each side by '-0.15'. x = 76.66666667 Simplifying x = 76.66666667
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