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Simplifying 2(x + 8) + -2 = 38 + -2x Reorder the terms: 2(8 + x) + -2 = 38 + -2x (8 * 2 + x * 2) + -2 = 38 + -2x (16 + 2x) + -2 = 38 + -2x Reorder the terms: 16 + -2 + 2x = 38 + -2x Combine like terms: 16 + -2 = 14 14 + 2x = 38 + -2x Solving 14 + 2x = 38 + -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. 14 + 2x + 2x = 38 + -2x + 2x Combine like terms: 2x + 2x = 4x 14 + 4x = 38 + -2x + 2x Combine like terms: -2x + 2x = 0 14 + 4x = 38 + 0 14 + 4x = 38 Add '-14' to each side of the equation. 14 + -14 + 4x = 38 + -14 Combine like terms: 14 + -14 = 0 0 + 4x = 38 + -14 4x = 38 + -14 Combine like terms: 38 + -14 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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