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Simplifying -2x + 34 = -6(8 + -7x) + -3x Reorder the terms: 34 + -2x = -6(8 + -7x) + -3x 34 + -2x = (8 * -6 + -7x * -6) + -3x 34 + -2x = (-48 + 42x) + -3x Combine like terms: 42x + -3x = 39x 34 + -2x = -48 + 39x Solving 34 + -2x = -48 + 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 + -2x + -39x = -48 + 39x + -39x Combine like terms: -2x + -39x = -41x 34 + -41x = -48 + 39x + -39x Combine like terms: 39x + -39x = 0 34 + -41x = -48 + 0 34 + -41x = -48 Add '-34' to each side of the equation. 34 + -34 + -41x = -48 + -34 Combine like terms: 34 + -34 = 0 0 + -41x = -48 + -34 -41x = -48 + -34 Combine like terms: -48 + -34 = -82 -41x = -82 Divide each side by '-41'. x = 2 Simplifying x = 2
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