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