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Simplifying -6(7 + 5x) = 8x + 34 (7 * -6 + 5x * -6) = 8x + 34 (-42 + -30x) = 8x + 34 Reorder the terms: -42 + -30x = 34 + 8x Solving -42 + -30x = 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. -42 + -30x + -8x = 34 + 8x + -8x Combine like terms: -30x + -8x = -38x -42 + -38x = 34 + 8x + -8x Combine like terms: 8x + -8x = 0 -42 + -38x = 34 + 0 -42 + -38x = 34 Add '42' to each side of the equation. -42 + 42 + -38x = 34 + 42 Combine like terms: -42 + 42 = 0 0 + -38x = 34 + 42 -38x = 34 + 42 Combine like terms: 34 + 42 = 76 -38x = 76 Divide each side by '-38'. x = -2 Simplifying x = -2
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