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Simplifying 34 + -8x = 2x + -8(-2 + 2x) 34 + -8x = 2x + (-2 * -8 + 2x * -8) 34 + -8x = 2x + (16 + -16x) Reorder the terms: 34 + -8x = 16 + 2x + -16x Combine like terms: 2x + -16x = -14x 34 + -8x = 16 + -14x Solving 34 + -8x = 16 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 34 + -8x + 14x = 16 + -14x + 14x Combine like terms: -8x + 14x = 6x 34 + 6x = 16 + -14x + 14x Combine like terms: -14x + 14x = 0 34 + 6x = 16 + 0 34 + 6x = 16 Add '-34' to each side of the equation. 34 + -34 + 6x = 16 + -34 Combine like terms: 34 + -34 = 0 0 + 6x = 16 + -34 6x = 16 + -34 Combine like terms: 16 + -34 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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