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Simplifying (x + -7) + -6(9 + -7x) = 34(x + -1) + 5 Reorder the terms: (-7 + x) + -6(9 + -7x) = 34(x + -1) + 5 Remove parenthesis around (-7 + x) -7 + x + -6(9 + -7x) = 34(x + -1) + 5 -7 + x + (9 * -6 + -7x * -6) = 34(x + -1) + 5 -7 + x + (-54 + 42x) = 34(x + -1) + 5 Reorder the terms: -7 + -54 + x + 42x = 34(x + -1) + 5 Combine like terms: -7 + -54 = -61 -61 + x + 42x = 34(x + -1) + 5 Combine like terms: x + 42x = 43x -61 + 43x = 34(x + -1) + 5 Reorder the terms: -61 + 43x = 34(-1 + x) + 5 -61 + 43x = (-1 * 34 + x * 34) + 5 -61 + 43x = (-34 + 34x) + 5 Reorder the terms: -61 + 43x = -34 + 5 + 34x Combine like terms: -34 + 5 = -29 -61 + 43x = -29 + 34x Solving -61 + 43x = -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. -61 + 43x + -34x = -29 + 34x + -34x Combine like terms: 43x + -34x = 9x -61 + 9x = -29 + 34x + -34x Combine like terms: 34x + -34x = 0 -61 + 9x = -29 + 0 -61 + 9x = -29 Add '61' to each side of the equation. -61 + 61 + 9x = -29 + 61 Combine like terms: -61 + 61 = 0 0 + 9x = -29 + 61 9x = -29 + 61 Combine like terms: -29 + 61 = 32 9x = 32 Divide each side by '9'. x = 3.555555556 Simplifying x = 3.555555556
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