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Simplifying -1(6x + 1) + -1(-5x + -3) = 1 Reorder the terms: -1(1 + 6x) + -1(-5x + -3) = 1 (1 * -1 + 6x * -1) + -1(-5x + -3) = 1 (-1 + -6x) + -1(-5x + -3) = 1 Reorder the terms: -1 + -6x + -1(-3 + -5x) = 1 -1 + -6x + (-3 * -1 + -5x * -1) = 1 -1 + -6x + (3 + 5x) = 1 Reorder the terms: -1 + 3 + -6x + 5x = 1 Combine like terms: -1 + 3 = 2 2 + -6x + 5x = 1 Combine like terms: -6x + 5x = -1x 2 + -1x = 1 Solving 2 + -1x = 1 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 = 1 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 1 + -2 -1x = 1 + -2 Combine like terms: 1 + -2 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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