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Simplifying 7x + -1(2x + 4) = 2x + (x + -3) + 34 Reorder the terms: 7x + -1(4 + 2x) = 2x + (x + -3) + 34 7x + (4 * -1 + 2x * -1) = 2x + (x + -3) + 34 7x + (-4 + -2x) = 2x + (x + -3) + 34 Reorder the terms: -4 + 7x + -2x = 2x + (x + -3) + 34 Combine like terms: 7x + -2x = 5x -4 + 5x = 2x + (x + -3) + 34 Reorder the terms: -4 + 5x = 2x + (-3 + x) + 34 Remove parenthesis around (-3 + x) -4 + 5x = 2x + -3 + x + 34 Reorder the terms: -4 + 5x = -3 + 34 + 2x + x Combine like terms: -3 + 34 = 31 -4 + 5x = 31 + 2x + x Combine like terms: 2x + x = 3x -4 + 5x = 31 + 3x Solving -4 + 5x = 31 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + 5x + -3x = 31 + 3x + -3x Combine like terms: 5x + -3x = 2x -4 + 2x = 31 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 2x = 31 + 0 -4 + 2x = 31 Add '4' to each side of the equation. -4 + 4 + 2x = 31 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 31 + 4 2x = 31 + 4 Combine like terms: 31 + 4 = 35 2x = 35 Divide each side by '2'. x = 17.5 Simplifying x = 17.5
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