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Simplifying (1 + -2x) * 0.1875 + -1x * 0.6355 = 0.1153 Reorder the terms for easier multiplication: 0.1875(1 + -2x) + -1x * 0.6355 = 0.1153 (1 * 0.1875 + -2x * 0.1875) + -1x * 0.6355 = 0.1153 (0.1875 + -0.375x) + -1x * 0.6355 = 0.1153 Reorder the terms for easier multiplication: 0.1875 + -0.375x + -1 * 0.6355x = 0.1153 Multiply -1 * 0.6355 0.1875 + -0.375x + -0.6355x = 0.1153 Combine like terms: -0.375x + -0.6355x = -1.0105x 0.1875 + -1.0105x = 0.1153 Solving 0.1875 + -1.0105x = 0.1153 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1875' to each side of the equation. 0.1875 + -0.1875 + -1.0105x = 0.1153 + -0.1875 Combine like terms: 0.1875 + -0.1875 = 0.0000 0.0000 + -1.0105x = 0.1153 + -0.1875 -1.0105x = 0.1153 + -0.1875 Combine like terms: 0.1153 + -0.1875 = -0.0722 -1.0105x = -0.0722 Divide each side by '-1.0105'. x = 0.07144977734 Simplifying x = 0.07144977734
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