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Simplifying 5 + -7(2 + -1x) = 31 + -4(x + 5) 5 + (2 * -7 + -1x * -7) = 31 + -4(x + 5) 5 + (-14 + 7x) = 31 + -4(x + 5) Combine like terms: 5 + -14 = -9 -9 + 7x = 31 + -4(x + 5) Reorder the terms: -9 + 7x = 31 + -4(5 + x) -9 + 7x = 31 + (5 * -4 + x * -4) -9 + 7x = 31 + (-20 + -4x) Combine like terms: 31 + -20 = 11 -9 + 7x = 11 + -4x Solving -9 + 7x = 11 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -9 + 7x + 4x = 11 + -4x + 4x Combine like terms: 7x + 4x = 11x -9 + 11x = 11 + -4x + 4x Combine like terms: -4x + 4x = 0 -9 + 11x = 11 + 0 -9 + 11x = 11 Add '9' to each side of the equation. -9 + 9 + 11x = 11 + 9 Combine like terms: -9 + 9 = 0 0 + 11x = 11 + 9 11x = 11 + 9 Combine like terms: 11 + 9 = 20 11x = 20 Divide each side by '11'. x = 1.818181818 Simplifying x = 1.818181818
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