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Simplifying -1.1(1 + 11.3x) + -0.5 = -9.9(-13.8x + 9.3) + 9.3 (1 * -1.1 + 11.3x * -1.1) + -0.5 = -9.9(-13.8x + 9.3) + 9.3 (-1.1 + -12.43x) + -0.5 = -9.9(-13.8x + 9.3) + 9.3 Reorder the terms: -1.1 + -0.5 + -12.43x = -9.9(-13.8x + 9.3) + 9.3 Combine like terms: -1.1 + -0.5 = -1.6 -1.6 + -12.43x = -9.9(-13.8x + 9.3) + 9.3 Reorder the terms: -1.6 + -12.43x = -9.9(9.3 + -13.8x) + 9.3 -1.6 + -12.43x = (9.3 * -9.9 + -13.8x * -9.9) + 9.3 -1.6 + -12.43x = (-92.07 + 136.62x) + 9.3 Reorder the terms: -1.6 + -12.43x = -92.07 + 9.3 + 136.62x Combine like terms: -92.07 + 9.3 = -82.77 -1.6 + -12.43x = -82.77 + 136.62x Solving -1.6 + -12.43x = -82.77 + 136.62x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-136.62x' to each side of the equation. -1.6 + -12.43x + -136.62x = -82.77 + 136.62x + -136.62x Combine like terms: -12.43x + -136.62x = -149.05x -1.6 + -149.05x = -82.77 + 136.62x + -136.62x Combine like terms: 136.62x + -136.62x = 0.00 -1.6 + -149.05x = -82.77 + 0.00 -1.6 + -149.05x = -82.77 Add '1.6' to each side of the equation. -1.6 + 1.6 + -149.05x = -82.77 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + -149.05x = -82.77 + 1.6 -149.05x = -82.77 + 1.6 Combine like terms: -82.77 + 1.6 = -81.17 -149.05x = -81.17 Divide each side by '-149.05'. x = 0.5445823549 Simplifying x = 0.5445823549
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