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Simplifying 7(8x + 2) = -34 + 8x Reorder the terms: 7(2 + 8x) = -34 + 8x (2 * 7 + 8x * 7) = -34 + 8x (14 + 56x) = -34 + 8x Solving 14 + 56x = -34 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 14 + 56x + -8x = -34 + 8x + -8x Combine like terms: 56x + -8x = 48x 14 + 48x = -34 + 8x + -8x Combine like terms: 8x + -8x = 0 14 + 48x = -34 + 0 14 + 48x = -34 Add '-14' to each side of the equation. 14 + -14 + 48x = -34 + -14 Combine like terms: 14 + -14 = 0 0 + 48x = -34 + -14 48x = -34 + -14 Combine like terms: -34 + -14 = -48 48x = -48 Divide each side by '48'. x = -1 Simplifying x = -1
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