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Simplifying -6 + -32 = 2(x + 8) Combine like terms: -6 + -32 = -38 -38 = 2(x + 8) Reorder the terms: -38 = 2(8 + x) -38 = (8 * 2 + x * 2) -38 = (16 + 2x) Solving -38 = 16 + 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. -38 + -2x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 -38 + -2x = 16 + 0 -38 + -2x = 16 Add '38' to each side of the equation. -38 + 38 + -2x = 16 + 38 Combine like terms: -38 + 38 = 0 0 + -2x = 16 + 38 -2x = 16 + 38 Combine like terms: 16 + 38 = 54 -2x = 54 Divide each side by '-2'. x = -27 Simplifying x = -27
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