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Simplifying 16(2x + -4) = 12(2 + -1x) + 8x Reorder the terms: 16(-4 + 2x) = 12(2 + -1x) + 8x (-4 * 16 + 2x * 16) = 12(2 + -1x) + 8x (-64 + 32x) = 12(2 + -1x) + 8x -64 + 32x = (2 * 12 + -1x * 12) + 8x -64 + 32x = (24 + -12x) + 8x Combine like terms: -12x + 8x = -4x -64 + 32x = 24 + -4x Solving -64 + 32x = 24 + -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. -64 + 32x + 4x = 24 + -4x + 4x Combine like terms: 32x + 4x = 36x -64 + 36x = 24 + -4x + 4x Combine like terms: -4x + 4x = 0 -64 + 36x = 24 + 0 -64 + 36x = 24 Add '64' to each side of the equation. -64 + 64 + 36x = 24 + 64 Combine like terms: -64 + 64 = 0 0 + 36x = 24 + 64 36x = 24 + 64 Combine like terms: 24 + 64 = 88 36x = 88 Divide each side by '36'. x = 2.444444444 Simplifying x = 2.444444444
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