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Simplifying 22 + -2x + 4(x + -2) = 34 Reorder the terms: 22 + -2x + 4(-2 + x) = 34 22 + -2x + (-2 * 4 + x * 4) = 34 22 + -2x + (-8 + 4x) = 34 Reorder the terms: 22 + -8 + -2x + 4x = 34 Combine like terms: 22 + -8 = 14 14 + -2x + 4x = 34 Combine like terms: -2x + 4x = 2x 14 + 2x = 34 Solving 14 + 2x = 34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 2x = 34 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = 34 + -14 2x = 34 + -14 Combine like terms: 34 + -14 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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