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Simplifying x + -0.5(0.1x + -2) = 1 + 11.95x Reorder the terms: x + -0.5(-2 + 0.1x) = 1 + 11.95x x + (-2 * -0.5 + 0.1x * -0.5) = 1 + 11.95x x + (1 + -0.05x) = 1 + 11.95x Reorder the terms: 1 + x + -0.05x = 1 + 11.95x Combine like terms: x + -0.05x = 0.95x 1 + 0.95x = 1 + 11.95x Add '-1' to each side of the equation. 1 + -1 + 0.95x = 1 + -1 + 11.95x Combine like terms: 1 + -1 = 0 0 + 0.95x = 1 + -1 + 11.95x 0.95x = 1 + -1 + 11.95x Combine like terms: 1 + -1 = 0 0.95x = 0 + 11.95x 0.95x = 11.95x Solving 0.95x = 11.95x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11.95x' to each side of the equation. 0.95x + -11.95x = 11.95x + -11.95x Combine like terms: 0.95x + -11.95x = -11x -11x = 11.95x + -11.95x Combine like terms: 11.95x + -11.95x = 0.00 -11x = 0.00 Divide each side by '-11'. x = 0.00 Simplifying x = 0.00
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