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Simplifying -7(x + -7) + -6(9 + -7x) = 34(x + -1) + 5 Reorder the terms: -7(-7 + x) + -6(9 + -7x) = 34(x + -1) + 5 (-7 * -7 + x * -7) + -6(9 + -7x) = 34(x + -1) + 5 (49 + -7x) + -6(9 + -7x) = 34(x + -1) + 5 49 + -7x + (9 * -6 + -7x * -6) = 34(x + -1) + 5 49 + -7x + (-54 + 42x) = 34(x + -1) + 5 Reorder the terms: 49 + -54 + -7x + 42x = 34(x + -1) + 5 Combine like terms: 49 + -54 = -5 -5 + -7x + 42x = 34(x + -1) + 5 Combine like terms: -7x + 42x = 35x -5 + 35x = 34(x + -1) + 5 Reorder the terms: -5 + 35x = 34(-1 + x) + 5 -5 + 35x = (-1 * 34 + x * 34) + 5 -5 + 35x = (-34 + 34x) + 5 Reorder the terms: -5 + 35x = -34 + 5 + 34x Combine like terms: -34 + 5 = -29 -5 + 35x = -29 + 34x Solving -5 + 35x = -29 + 34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34x' to each side of the equation. -5 + 35x + -34x = -29 + 34x + -34x Combine like terms: 35x + -34x = 1x -5 + 1x = -29 + 34x + -34x Combine like terms: 34x + -34x = 0 -5 + 1x = -29 + 0 -5 + 1x = -29 Add '5' to each side of the equation. -5 + 5 + 1x = -29 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = -29 + 5 1x = -29 + 5 Combine like terms: -29 + 5 = -24 1x = -24 Divide each side by '1'. x = -24 Simplifying x = -24
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