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Simplifying 2 + -1(2x + 16) = 34 + -8x Reorder the terms: 2 + -1(16 + 2x) = 34 + -8x 2 + (16 * -1 + 2x * -1) = 34 + -8x 2 + (-16 + -2x) = 34 + -8x Combine like terms: 2 + -16 = -14 -14 + -2x = 34 + -8x Solving -14 + -2x = 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 + -2x + 8x = 34 + -8x + 8x Combine like terms: -2x + 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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