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Simplifying 2x + -1(4 + -3x) = 5 + (7x + -1) 2x + (4 * -1 + -3x * -1) = 5 + (7x + -1) 2x + (-4 + 3x) = 5 + (7x + -1) Reorder the terms: -4 + 2x + 3x = 5 + (7x + -1) Combine like terms: 2x + 3x = 5x -4 + 5x = 5 + (7x + -1) Reorder the terms: -4 + 5x = 5 + (-1 + 7x) Remove parenthesis around (-1 + 7x) -4 + 5x = 5 + -1 + 7x Combine like terms: 5 + -1 = 4 -4 + 5x = 4 + 7x Solving -4 + 5x = 4 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -4 + 5x + -7x = 4 + 7x + -7x Combine like terms: 5x + -7x = -2x -4 + -2x = 4 + 7x + -7x Combine like terms: 7x + -7x = 0 -4 + -2x = 4 + 0 -4 + -2x = 4 Add '4' to each side of the equation. -4 + 4 + -2x = 4 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = 4 + 4 -2x = 4 + 4 Combine like terms: 4 + 4 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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