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Simplifying -2(16 + -4x) + -8 = 6(x + 2) (16 * -2 + -4x * -2) + -8 = 6(x + 2) (-32 + 8x) + -8 = 6(x + 2) Reorder the terms: -32 + -8 + 8x = 6(x + 2) Combine like terms: -32 + -8 = -40 -40 + 8x = 6(x + 2) Reorder the terms: -40 + 8x = 6(2 + x) -40 + 8x = (2 * 6 + x * 6) -40 + 8x = (12 + 6x) Solving -40 + 8x = 12 + 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. -40 + 8x + -6x = 12 + 6x + -6x Combine like terms: 8x + -6x = 2x -40 + 2x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -40 + 2x = 12 + 0 -40 + 2x = 12 Add '40' to each side of the equation. -40 + 40 + 2x = 12 + 40 Combine like terms: -40 + 40 = 0 0 + 2x = 12 + 40 2x = 12 + 40 Combine like terms: 12 + 40 = 52 2x = 52 Divide each side by '2'. x = 26 Simplifying x = 26
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