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Simplifying -7(x + 9) + -1(-8x + -3) = 6 Reorder the terms: -7(9 + x) + -1(-8x + -3) = 6 (9 * -7 + x * -7) + -1(-8x + -3) = 6 (-63 + -7x) + -1(-8x + -3) = 6 Reorder the terms: -63 + -7x + -1(-3 + -8x) = 6 -63 + -7x + (-3 * -1 + -8x * -1) = 6 -63 + -7x + (3 + 8x) = 6 Reorder the terms: -63 + 3 + -7x + 8x = 6 Combine like terms: -63 + 3 = -60 -60 + -7x + 8x = 6 Combine like terms: -7x + 8x = 1x -60 + 1x = 6 Solving -60 + 1x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + 1x = 6 + 60 Combine like terms: -60 + 60 = 0 0 + 1x = 6 + 60 1x = 6 + 60 Combine like terms: 6 + 60 = 66 1x = 66 Divide each side by '1'. x = 66 Simplifying x = 66
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