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