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Simplifying 2x + (-3 + -5x) = -1(7x + 1) + 6 Remove parenthesis around (-3 + -5x) 2x + -3 + -5x = -1(7x + 1) + 6 Reorder the terms: -3 + 2x + -5x = -1(7x + 1) + 6 Combine like terms: 2x + -5x = -3x -3 + -3x = -1(7x + 1) + 6 Reorder the terms: -3 + -3x = -1(1 + 7x) + 6 -3 + -3x = (1 * -1 + 7x * -1) + 6 -3 + -3x = (-1 + -7x) + 6 Reorder the terms: -3 + -3x = -1 + 6 + -7x Combine like terms: -1 + 6 = 5 -3 + -3x = 5 + -7x Solving -3 + -3x = 5 + -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. -3 + -3x + 7x = 5 + -7x + 7x Combine like terms: -3x + 7x = 4x -3 + 4x = 5 + -7x + 7x Combine like terms: -7x + 7x = 0 -3 + 4x = 5 + 0 -3 + 4x = 5 Add '3' to each side of the equation. -3 + 3 + 4x = 5 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = 5 + 3 4x = 5 + 3 Combine like terms: 5 + 3 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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