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Simplifying -2x + 34 = 2x + -2(7 + 8x) Reorder the terms: 34 + -2x = 2x + -2(7 + 8x) 34 + -2x = 2x + (7 * -2 + 8x * -2) 34 + -2x = 2x + (-14 + -16x) Reorder the terms: 34 + -2x = -14 + 2x + -16x Combine like terms: 2x + -16x = -14x 34 + -2x = -14 + -14x Solving 34 + -2x = -14 + -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 + -2x + 14x = -14 + -14x + 14x Combine like terms: -2x + 14x = 12x 34 + 12x = -14 + -14x + 14x Combine like terms: -14x + 14x = 0 34 + 12x = -14 + 0 34 + 12x = -14 Add '-34' to each side of the equation. 34 + -34 + 12x = -14 + -34 Combine like terms: 34 + -34 = 0 0 + 12x = -14 + -34 12x = -14 + -34 Combine like terms: -14 + -34 = -48 12x = -48 Divide each side by '12'. x = -4 Simplifying x = -4
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