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Simplifying 2(2x + 1) = -2x + 38 Reorder the terms: 2(1 + 2x) = -2x + 38 (1 * 2 + 2x * 2) = -2x + 38 (2 + 4x) = -2x + 38 Reorder the terms: 2 + 4x = 38 + -2x Solving 2 + 4x = 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. 2 + 4x + 2x = 38 + -2x + 2x Combine like terms: 4x + 2x = 6x 2 + 6x = 38 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 6x = 38 + 0 2 + 6x = 38 Add '-2' to each side of the equation. 2 + -2 + 6x = 38 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = 38 + -2 6x = 38 + -2 Combine like terms: 38 + -2 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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