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Simplifying -8(x + 1) = 6x + 34 Reorder the terms: -8(1 + x) = 6x + 34 (1 * -8 + x * -8) = 6x + 34 (-8 + -8x) = 6x + 34 Reorder the terms: -8 + -8x = 34 + 6x Solving -8 + -8x = 34 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + -8x + -6x = 34 + 6x + -6x Combine like terms: -8x + -6x = -14x -8 + -14x = 34 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -14x = 34 + 0 -8 + -14x = 34 Add '8' to each side of the equation. -8 + 8 + -14x = 34 + 8 Combine like terms: -8 + 8 = 0 0 + -14x = 34 + 8 -14x = 34 + 8 Combine like terms: 34 + 8 = 42 -14x = 42 Divide each side by '-14'. x = -3 Simplifying x = -3
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