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Simplifying 7x + (x + -4) = 31 + x Reorder the terms: 7x + (-4 + x) = 31 + x Remove parenthesis around (-4 + x) 7x + -4 + x = 31 + x Reorder the terms: -4 + 7x + x = 31 + x Combine like terms: 7x + x = 8x -4 + 8x = 31 + x Solving -4 + 8x = 31 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -4 + 8x + -1x = 31 + x + -1x Combine like terms: 8x + -1x = 7x -4 + 7x = 31 + x + -1x Combine like terms: x + -1x = 0 -4 + 7x = 31 + 0 -4 + 7x = 31 Add '4' to each side of the equation. -4 + 4 + 7x = 31 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = 31 + 4 7x = 31 + 4 Combine like terms: 31 + 4 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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