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Simplifying 14(x + -1) = 8x + 34 Reorder the terms: 14(-1 + x) = 8x + 34 (-1 * 14 + x * 14) = 8x + 34 (-14 + 14x) = 8x + 34 Reorder the terms: -14 + 14x = 34 + 8x Solving -14 + 14x = 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 + 14x + -8x = 34 + 8x + -8x Combine like terms: 14x + -8x = 6x -14 + 6x = 34 + 8x + -8x Combine like terms: 8x + -8x = 0 -14 + 6x = 34 + 0 -14 + 6x = 34 Add '14' to each side of the equation. -14 + 14 + 6x = 34 + 14 Combine like terms: -14 + 14 = 0 0 + 6x = 34 + 14 6x = 34 + 14 Combine like terms: 34 + 14 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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