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Simplifying 12 + -6x + 4 + -8x + -2(x + -8) = 0 Reorder the terms: 12 + -6x + 4 + -8x + -2(-8 + x) = 0 12 + -6x + 4 + -8x + (-8 * -2 + x * -2) = 0 12 + -6x + 4 + -8x + (16 + -2x) = 0 Reorder the terms: 12 + 4 + 16 + -6x + -8x + -2x = 0 Combine like terms: 12 + 4 = 16 16 + 16 + -6x + -8x + -2x = 0 Combine like terms: 16 + 16 = 32 32 + -6x + -8x + -2x = 0 Combine like terms: -6x + -8x = -14x 32 + -14x + -2x = 0 Combine like terms: -14x + -2x = -16x 32 + -16x = 0 Solving 32 + -16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -16x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -16x = 0 + -32 -16x = 0 + -32 Combine like terms: 0 + -32 = -32 -16x = -32 Divide each side by '-16'. x = 2 Simplifying x = 2
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