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Simplifying -6(x + 6) + -1(-7x + 8) = -1 Reorder the terms: -6(6 + x) + -1(-7x + 8) = -1 (6 * -6 + x * -6) + -1(-7x + 8) = -1 (-36 + -6x) + -1(-7x + 8) = -1 Reorder the terms: -36 + -6x + -1(8 + -7x) = -1 -36 + -6x + (8 * -1 + -7x * -1) = -1 -36 + -6x + (-8 + 7x) = -1 Reorder the terms: -36 + -8 + -6x + 7x = -1 Combine like terms: -36 + -8 = -44 -44 + -6x + 7x = -1 Combine like terms: -6x + 7x = 1x -44 + 1x = -1 Solving -44 + 1x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 1x = -1 + 44 Combine like terms: -44 + 44 = 0 0 + 1x = -1 + 44 1x = -1 + 44 Combine like terms: -1 + 44 = 43 1x = 43 Divide each side by '1'. x = 43 Simplifying x = 43
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