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Simplifying -38 = 2(3x + 2) Reorder the terms: -38 = 2(2 + 3x) -38 = (2 * 2 + 3x * 2) -38 = (4 + 6x) Solving -38 = 4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -38 + -6x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 -38 + -6x = 4 + 0 -38 + -6x = 4 Add '38' to each side of the equation. -38 + 38 + -6x = 4 + 38 Combine like terms: -38 + 38 = 0 0 + -6x = 4 + 38 -6x = 4 + 38 Combine like terms: 4 + 38 = 42 -6x = 42 Divide each side by '-6'. x = -7 Simplifying x = -7
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