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Simplifying 2.34(x + -4.27) = 5.27(x + 3.82) Reorder the terms: 2.34(-4.27 + x) = 5.27(x + 3.82) (-4.27 * 2.34 + x * 2.34) = 5.27(x + 3.82) (-9.9918 + 2.34x) = 5.27(x + 3.82) Reorder the terms: -9.9918 + 2.34x = 5.27(3.82 + x) -9.9918 + 2.34x = (3.82 * 5.27 + x * 5.27) -9.9918 + 2.34x = (20.1314 + 5.27x) Solving -9.9918 + 2.34x = 20.1314 + 5.27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.27x' to each side of the equation. -9.9918 + 2.34x + -5.27x = 20.1314 + 5.27x + -5.27x Combine like terms: 2.34x + -5.27x = -2.93x -9.9918 + -2.93x = 20.1314 + 5.27x + -5.27x Combine like terms: 5.27x + -5.27x = 0.00 -9.9918 + -2.93x = 20.1314 + 0.00 -9.9918 + -2.93x = 20.1314 Add '9.9918' to each side of the equation. -9.9918 + 9.9918 + -2.93x = 20.1314 + 9.9918 Combine like terms: -9.9918 + 9.9918 = 0.0000 0.0000 + -2.93x = 20.1314 + 9.9918 -2.93x = 20.1314 + 9.9918 Combine like terms: 20.1314 + 9.9918 = 30.1232 -2.93x = 30.1232 Divide each side by '-2.93'. x = -10.28095563 Simplifying x = -10.28095563
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