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