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Simplifying 4x + -1(2 + -3x) = 5x + -1(7 + -1x) 4x + (2 * -1 + -3x * -1) = 5x + -1(7 + -1x) 4x + (-2 + 3x) = 5x + -1(7 + -1x) Reorder the terms: -2 + 4x + 3x = 5x + -1(7 + -1x) Combine like terms: 4x + 3x = 7x -2 + 7x = 5x + -1(7 + -1x) -2 + 7x = 5x + (7 * -1 + -1x * -1) -2 + 7x = 5x + (-7 + 1x) Reorder the terms: -2 + 7x = -7 + 5x + 1x Combine like terms: 5x + 1x = 6x -2 + 7x = -7 + 6x Solving -2 + 7x = -7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2 + 7x + -6x = -7 + 6x + -6x Combine like terms: 7x + -6x = 1x -2 + 1x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + 1x = -7 + 0 -2 + 1x = -7 Add '2' to each side of the equation. -2 + 2 + 1x = -7 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = -7 + 2 1x = -7 + 2 Combine like terms: -7 + 2 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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