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Simplifying 4(2x + -4) = x + 12 Reorder the terms: 4(-4 + 2x) = x + 12 (-4 * 4 + 2x * 4) = x + 12 (-16 + 8x) = x + 12 Reorder the terms: -16 + 8x = 12 + x Solving -16 + 8x = 12 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -16 + 8x + -1x = 12 + x + -1x Combine like terms: 8x + -1x = 7x -16 + 7x = 12 + x + -1x Combine like terms: x + -1x = 0 -16 + 7x = 12 + 0 -16 + 7x = 12 Add '16' to each side of the equation. -16 + 16 + 7x = 12 + 16 Combine like terms: -16 + 16 = 0 0 + 7x = 12 + 16 7x = 12 + 16 Combine like terms: 12 + 16 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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