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Simplifying 7(x + 6) + -1(1 + -1x) = 33 Reorder the terms: 7(6 + x) + -1(1 + -1x) = 33 (6 * 7 + x * 7) + -1(1 + -1x) = 33 (42 + 7x) + -1(1 + -1x) = 33 42 + 7x + (1 * -1 + -1x * -1) = 33 42 + 7x + (-1 + 1x) = 33 Reorder the terms: 42 + -1 + 7x + 1x = 33 Combine like terms: 42 + -1 = 41 41 + 7x + 1x = 33 Combine like terms: 7x + 1x = 8x 41 + 8x = 33 Solving 41 + 8x = 33 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + 8x = 33 + -41 Combine like terms: 41 + -41 = 0 0 + 8x = 33 + -41 8x = 33 + -41 Combine like terms: 33 + -41 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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