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Simplifying -34 = 7x + -2(x + -8) Reorder the terms: -34 = 7x + -2(-8 + x) -34 = 7x + (-8 * -2 + x * -2) -34 = 7x + (16 + -2x) Reorder the terms: -34 = 16 + 7x + -2x Combine like terms: 7x + -2x = 5x -34 = 16 + 5x Solving -34 = 16 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -34 + -5x = 16 + 5x + -5x Combine like terms: 5x + -5x = 0 -34 + -5x = 16 + 0 -34 + -5x = 16 Add '34' to each side of the equation. -34 + 34 + -5x = 16 + 34 Combine like terms: -34 + 34 = 0 0 + -5x = 16 + 34 -5x = 16 + 34 Combine like terms: 16 + 34 = 50 -5x = 50 Divide each side by '-5'. x = -10 Simplifying x = -10
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