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Simplifying 34 = 2(x + 7) + -4x Reorder the terms: 34 = 2(7 + x) + -4x 34 = (7 * 2 + x * 2) + -4x 34 = (14 + 2x) + -4x Combine like terms: 2x + -4x = -2x 34 = 14 + -2x Solving 34 = 14 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 34 + 2x = 14 + -2x + 2x Combine like terms: -2x + 2x = 0 34 + 2x = 14 + 0 34 + 2x = 14 Add '-34' to each side of the equation. 34 + -34 + 2x = 14 + -34 Combine like terms: 34 + -34 = 0 0 + 2x = 14 + -34 2x = 14 + -34 Combine like terms: 14 + -34 = -20 2x = -20 Divide each side by '2'. x = -10 Simplifying x = -10
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