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Simplifying 34 = 2x + -3(2x + 2) Reorder the terms: 34 = 2x + -3(2 + 2x) 34 = 2x + (2 * -3 + 2x * -3) 34 = 2x + (-6 + -6x) Reorder the terms: 34 = -6 + 2x + -6x Combine like terms: 2x + -6x = -4x 34 = -6 + -4x Solving 34 = -6 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 34 + 4x = -6 + -4x + 4x Combine like terms: -4x + 4x = 0 34 + 4x = -6 + 0 34 + 4x = -6 Add '-34' to each side of the equation. 34 + -34 + 4x = -6 + -34 Combine like terms: 34 + -34 = 0 0 + 4x = -6 + -34 4x = -6 + -34 Combine like terms: -6 + -34 = -40 4x = -40 Divide each side by '4'. x = -10 Simplifying x = -10
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