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Simplifying -34 = -3(x + 8) + 7(6x + -7) Reorder the terms: -34 = -3(8 + x) + 7(6x + -7) -34 = (8 * -3 + x * -3) + 7(6x + -7) -34 = (-24 + -3x) + 7(6x + -7) Reorder the terms: -34 = -24 + -3x + 7(-7 + 6x) -34 = -24 + -3x + (-7 * 7 + 6x * 7) -34 = -24 + -3x + (-49 + 42x) Reorder the terms: -34 = -24 + -49 + -3x + 42x Combine like terms: -24 + -49 = -73 -34 = -73 + -3x + 42x Combine like terms: -3x + 42x = 39x -34 = -73 + 39x Solving -34 = -73 + 39x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39x' to each side of the equation. -34 + -39x = -73 + 39x + -39x Combine like terms: 39x + -39x = 0 -34 + -39x = -73 + 0 -34 + -39x = -73 Add '34' to each side of the equation. -34 + 34 + -39x = -73 + 34 Combine like terms: -34 + 34 = 0 0 + -39x = -73 + 34 -39x = -73 + 34 Combine like terms: -73 + 34 = -39 -39x = -39 Divide each side by '-39'. x = 1 Simplifying x = 1
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