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Simplifying 2(x + -2) = 38 + -4x Reorder the terms: 2(-2 + x) = 38 + -4x (-2 * 2 + x * 2) = 38 + -4x (-4 + 2x) = 38 + -4x Solving -4 + 2x = 38 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -4 + 2x + 4x = 38 + -4x + 4x Combine like terms: 2x + 4x = 6x -4 + 6x = 38 + -4x + 4x Combine like terms: -4x + 4x = 0 -4 + 6x = 38 + 0 -4 + 6x = 38 Add '4' to each side of the equation. -4 + 4 + 6x = 38 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = 38 + 4 6x = 38 + 4 Combine like terms: 38 + 4 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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