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Simplifying 16(x + -1) = 4(4 + -1x) + 12x Reorder the terms: 16(-1 + x) = 4(4 + -1x) + 12x (-1 * 16 + x * 16) = 4(4 + -1x) + 12x (-16 + 16x) = 4(4 + -1x) + 12x -16 + 16x = (4 * 4 + -1x * 4) + 12x -16 + 16x = (16 + -4x) + 12x Combine like terms: -4x + 12x = 8x -16 + 16x = 16 + 8x Solving -16 + 16x = 16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -16 + 16x + -8x = 16 + 8x + -8x Combine like terms: 16x + -8x = 8x -16 + 8x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 -16 + 8x = 16 + 0 -16 + 8x = 16 Add '16' to each side of the equation. -16 + 16 + 8x = 16 + 16 Combine like terms: -16 + 16 = 0 0 + 8x = 16 + 16 8x = 16 + 16 Combine like terms: 16 + 16 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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