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Simplifying 14.184 + -7(2x + 5) = 301 + 6(x + -1) + -6 Reorder the terms: 14.184 + -7(5 + 2x) = 301 + 6(x + -1) + -6 14.184 + (5 * -7 + 2x * -7) = 301 + 6(x + -1) + -6 14.184 + (-35 + -14x) = 301 + 6(x + -1) + -6 Combine like terms: 14.184 + -35 = -20.816 -20.816 + -14x = 301 + 6(x + -1) + -6 Reorder the terms: -20.816 + -14x = 301 + 6(-1 + x) + -6 -20.816 + -14x = 301 + (-1 * 6 + x * 6) + -6 -20.816 + -14x = 301 + (-6 + 6x) + -6 Reorder the terms: -20.816 + -14x = 301 + -6 + -6 + 6x Combine like terms: 301 + -6 = 295 -20.816 + -14x = 295 + -6 + 6x Combine like terms: 295 + -6 = 289 -20.816 + -14x = 289 + 6x Solving -20.816 + -14x = 289 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -20.816 + -14x + -6x = 289 + 6x + -6x Combine like terms: -14x + -6x = -20x -20.816 + -20x = 289 + 6x + -6x Combine like terms: 6x + -6x = 0 -20.816 + -20x = 289 + 0 -20.816 + -20x = 289 Add '20.816' to each side of the equation. -20.816 + 20.816 + -20x = 289 + 20.816 Combine like terms: -20.816 + 20.816 = 0.000 0.000 + -20x = 289 + 20.816 -20x = 289 + 20.816 Combine like terms: 289 + 20.816 = 309.816 -20x = 309.816 Divide each side by '-20'. x = -15.4908 Simplifying x = -15.4908
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