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Simplifying 2(x + 6) + -2 = 38 + -2x Reorder the terms: 2(6 + x) + -2 = 38 + -2x (6 * 2 + x * 2) + -2 = 38 + -2x (12 + 2x) + -2 = 38 + -2x Reorder the terms: 12 + -2 + 2x = 38 + -2x Combine like terms: 12 + -2 = 10 10 + 2x = 38 + -2x Solving 10 + 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. 10 + 2x + 2x = 38 + -2x + 2x Combine like terms: 2x + 2x = 4x 10 + 4x = 38 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + 4x = 38 + 0 10 + 4x = 38 Add '-10' to each side of the equation. 10 + -10 + 4x = 38 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = 38 + -10 4x = 38 + -10 Combine like terms: 38 + -10 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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