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Simplifying 0.50x + 0.10(130) = 0.25(38) Multiply 0.10 * 130 0.50x + 13 = 0.25(38) Reorder the terms: 13 + 0.50x = 0.25(38) Multiply 0.25 * 38 13 + 0.50x = 9.5 Solving 13 + 0.50x = 9.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 0.50x = 9.5 + -13 Combine like terms: 13 + -13 = 0 0 + 0.50x = 9.5 + -13 0.50x = 9.5 + -13 Combine like terms: 9.5 + -13 = -3.5 0.50x = -3.5 Divide each side by '0.50'. x = -7 Simplifying x = -7
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