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Simplifying 2x + -1(5 + 7x) = 4 + -1[x + -1(2x + 3)] 2x + (5 * -1 + 7x * -1) = 4 + -1[x + -1(2x + 3)] 2x + (-5 + -7x) = 4 + -1[x + -1(2x + 3)] Reorder the terms: -5 + 2x + -7x = 4 + -1[x + -1(2x + 3)] Combine like terms: 2x + -7x = -5x -5 + -5x = 4 + -1[x + -1(2x + 3)] Reorder the terms: -5 + -5x = 4 + -1[x + -1(3 + 2x)] -5 + -5x = 4 + -1[x + (3 * -1 + 2x * -1)] -5 + -5x = 4 + -1[x + (-3 + -2x)] Reorder the terms: -5 + -5x = 4 + -1[-3 + x + -2x] Combine like terms: x + -2x = -1x -5 + -5x = 4 + -1[-3 + -1x] -5 + -5x = 4 + [-3 * -1 + -1x * -1] -5 + -5x = 4 + [3 + 1x] Combine like terms: 4 + 3 = 7 -5 + -5x = 7 + 1x Solving -5 + -5x = 7 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -5 + -5x + -1x = 7 + 1x + -1x Combine like terms: -5x + -1x = -6x -5 + -6x = 7 + 1x + -1x Combine like terms: 1x + -1x = 0 -5 + -6x = 7 + 0 -5 + -6x = 7 Add '5' to each side of the equation. -5 + 5 + -6x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = 7 + 5 -6x = 7 + 5 Combine like terms: 7 + 5 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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