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Simplifying 10(0.5 + -1x) = 1 + x (0.5 * 10 + -1x * 10) = 1 + x (5 + -10x) = 1 + x Solving 5 + -10x = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5 + -10x + -1x = 1 + x + -1x Combine like terms: -10x + -1x = -11x 5 + -11x = 1 + x + -1x Combine like terms: x + -1x = 0 5 + -11x = 1 + 0 5 + -11x = 1 Add '-5' to each side of the equation. 5 + -5 + -11x = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -11x = 1 + -5 -11x = 1 + -5 Combine like terms: 1 + -5 = -4 -11x = -4 Divide each side by '-11'. x = 0.3636363636 Simplifying x = 0.3636363636
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