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Simplifying 3 + -2(5 + -1x) + 3x = 7x + -1(5 + 4x) 3 + (5 * -2 + -1x * -2) + 3x = 7x + -1(5 + 4x) 3 + (-10 + 2x) + 3x = 7x + -1(5 + 4x) Combine like terms: 3 + -10 = -7 -7 + 2x + 3x = 7x + -1(5 + 4x) Combine like terms: 2x + 3x = 5x -7 + 5x = 7x + -1(5 + 4x) -7 + 5x = 7x + (5 * -1 + 4x * -1) -7 + 5x = 7x + (-5 + -4x) Reorder the terms: -7 + 5x = -5 + 7x + -4x Combine like terms: 7x + -4x = 3x -7 + 5x = -5 + 3x Solving -7 + 5x = -5 + 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. -7 + 5x + -3x = -5 + 3x + -3x Combine like terms: 5x + -3x = 2x -7 + 2x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + 2x = -5 + 0 -7 + 2x = -5 Add '7' to each side of the equation. -7 + 7 + 2x = -5 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = -5 + 7 2x = -5 + 7 Combine like terms: -5 + 7 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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