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Simplifying 16(x + -1) = -4(4 + -1x) + 12 Reorder the terms: 16(-1 + x) = -4(4 + -1x) + 12 (-1 * 16 + x * 16) = -4(4 + -1x) + 12 (-16 + 16x) = -4(4 + -1x) + 12 -16 + 16x = (4 * -4 + -1x * -4) + 12 -16 + 16x = (-16 + 4x) + 12 Reorder the terms: -16 + 16x = -16 + 12 + 4x Combine like terms: -16 + 12 = -4 -16 + 16x = -4 + 4x Solving -16 + 16x = -4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -16 + 16x + -4x = -4 + 4x + -4x Combine like terms: 16x + -4x = 12x -16 + 12x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 -16 + 12x = -4 + 0 -16 + 12x = -4 Add '16' to each side of the equation. -16 + 16 + 12x = -4 + 16 Combine like terms: -16 + 16 = 0 0 + 12x = -4 + 16 12x = -4 + 16 Combine like terms: -4 + 16 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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