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