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Simplifying 7x + -1(2x + 4) = 2x + (x + -3) + 3 Reorder the terms: 7x + -1(4 + 2x) = 2x + (x + -3) + 3 7x + (4 * -1 + 2x * -1) = 2x + (x + -3) + 3 7x + (-4 + -2x) = 2x + (x + -3) + 3 Reorder the terms: -4 + 7x + -2x = 2x + (x + -3) + 3 Combine like terms: 7x + -2x = 5x -4 + 5x = 2x + (x + -3) + 3 Reorder the terms: -4 + 5x = 2x + (-3 + x) + 3 Remove parenthesis around (-3 + x) -4 + 5x = 2x + -3 + x + 3 Reorder the terms: -4 + 5x = -3 + 3 + 2x + x Combine like terms: -3 + 3 = 0 -4 + 5x = 0 + 2x + x -4 + 5x = 2x + x Combine like terms: 2x + x = 3x -4 + 5x = 3x Solving -4 + 5x = 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 = 3x + -3x Combine like terms: 5x + -3x = 2x -4 + 2x = 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 2x = 0 Add '4' to each side of the equation. -4 + 4 + 2x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 0 + 4 2x = 0 + 4 Combine like terms: 0 + 4 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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