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Simplifying 2(2x + 4) + 6 = 2(-24 + 4) + 6 Reorder the terms: 2(4 + 2x) + 6 = 2(-24 + 4) + 6 (4 * 2 + 2x * 2) + 6 = 2(-24 + 4) + 6 (8 + 4x) + 6 = 2(-24 + 4) + 6 Reorder the terms: 8 + 6 + 4x = 2(-24 + 4) + 6 Combine like terms: 8 + 6 = 14 14 + 4x = 2(-24 + 4) + 6 Combine like terms: -24 + 4 = -20 14 + 4x = 2(-20) + 6 Multiply 2 * -20 14 + 4x = -40 + 6 Combine like terms: -40 + 6 = -34 14 + 4x = -34 Solving 14 + 4x = -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 + 4x = -34 + -14 Combine like terms: 14 + -14 = 0 0 + 4x = -34 + -14 4x = -34 + -14 Combine like terms: -34 + -14 = -48 4x = -48 Divide each side by '4'. x = -12 Simplifying x = -12
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