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Simplifying 6 + -2(x + -8) = 6x + -34 Reorder the terms: 6 + -2(-8 + x) = 6x + -34 6 + (-8 * -2 + x * -2) = 6x + -34 6 + (16 + -2x) = 6x + -34 Combine like terms: 6 + 16 = 22 22 + -2x = 6x + -34 Reorder the terms: 22 + -2x = -34 + 6x Solving 22 + -2x = -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. 22 + -2x + -6x = -34 + 6x + -6x Combine like terms: -2x + -6x = -8x 22 + -8x = -34 + 6x + -6x Combine like terms: 6x + -6x = 0 22 + -8x = -34 + 0 22 + -8x = -34 Add '-22' to each side of the equation. 22 + -22 + -8x = -34 + -22 Combine like terms: 22 + -22 = 0 0 + -8x = -34 + -22 -8x = -34 + -22 Combine like terms: -34 + -22 = -56 -8x = -56 Divide each side by '-8'. x = 7 Simplifying x = 7
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