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Simplifying 2(x + 3) + -2 = 34 + -4x Reorder the terms: 2(3 + x) + -2 = 34 + -4x (3 * 2 + x * 2) + -2 = 34 + -4x (6 + 2x) + -2 = 34 + -4x Reorder the terms: 6 + -2 + 2x = 34 + -4x Combine like terms: 6 + -2 = 4 4 + 2x = 34 + -4x Solving 4 + 2x = 34 + -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. 4 + 2x + 4x = 34 + -4x + 4x Combine like terms: 2x + 4x = 6x 4 + 6x = 34 + -4x + 4x Combine like terms: -4x + 4x = 0 4 + 6x = 34 + 0 4 + 6x = 34 Add '-4' to each side of the equation. 4 + -4 + 6x = 34 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = 34 + -4 6x = 34 + -4 Combine like terms: 34 + -4 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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