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Simplifying -38 = 2(3x + 5) + 6 Reorder the terms: -38 = 2(5 + 3x) + 6 -38 = (5 * 2 + 3x * 2) + 6 -38 = (10 + 6x) + 6 Reorder the terms: -38 = 10 + 6 + 6x Combine like terms: 10 + 6 = 16 -38 = 16 + 6x Solving -38 = 16 + 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 = 16 + 6x + -6x Combine like terms: 6x + -6x = 0 -38 + -6x = 16 + 0 -38 + -6x = 16 Add '38' to each side of the equation. -38 + 38 + -6x = 16 + 38 Combine like terms: -38 + 38 = 0 0 + -6x = 16 + 38 -6x = 16 + 38 Combine like terms: 16 + 38 = 54 -6x = 54 Divide each side by '-6'. x = -9 Simplifying x = -9
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