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Simplifying 34 + -7x = 6(-8x + -8) Reorder the terms: 34 + -7x = 6(-8 + -8x) 34 + -7x = (-8 * 6 + -8x * 6) 34 + -7x = (-48 + -48x) Solving 34 + -7x = -48 + -48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48x' to each side of the equation. 34 + -7x + 48x = -48 + -48x + 48x Combine like terms: -7x + 48x = 41x 34 + 41x = -48 + -48x + 48x Combine like terms: -48x + 48x = 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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