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Simplifying 5 + -7(2 + -1x) = 31 + -4(2x + -4) 5 + (2 * -7 + -1x * -7) = 31 + -4(2x + -4) 5 + (-14 + 7x) = 31 + -4(2x + -4) Combine like terms: 5 + -14 = -9 -9 + 7x = 31 + -4(2x + -4) Reorder the terms: -9 + 7x = 31 + -4(-4 + 2x) -9 + 7x = 31 + (-4 * -4 + 2x * -4) -9 + 7x = 31 + (16 + -8x) Combine like terms: 31 + 16 = 47 -9 + 7x = 47 + -8x Solving -9 + 7x = 47 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -9 + 7x + 8x = 47 + -8x + 8x Combine like terms: 7x + 8x = 15x -9 + 15x = 47 + -8x + 8x Combine like terms: -8x + 8x = 0 -9 + 15x = 47 + 0 -9 + 15x = 47 Add '9' to each side of the equation. -9 + 9 + 15x = 47 + 9 Combine like terms: -9 + 9 = 0 0 + 15x = 47 + 9 15x = 47 + 9 Combine like terms: 47 + 9 = 56 15x = 56 Divide each side by '15'. x = 3.733333333 Simplifying x = 3.733333333
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