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Simplifying 4(2x + -4) + 12 = 4x + 47 Reorder the terms: 4(-4 + 2x) + 12 = 4x + 47 (-4 * 4 + 2x * 4) + 12 = 4x + 47 (-16 + 8x) + 12 = 4x + 47 Reorder the terms: -16 + 12 + 8x = 4x + 47 Combine like terms: -16 + 12 = -4 -4 + 8x = 4x + 47 Reorder the terms: -4 + 8x = 47 + 4x Solving -4 + 8x = 47 + 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. -4 + 8x + -4x = 47 + 4x + -4x Combine like terms: 8x + -4x = 4x -4 + 4x = 47 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + 4x = 47 + 0 -4 + 4x = 47 Add '4' to each side of the equation. -4 + 4 + 4x = 47 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = 47 + 4 4x = 47 + 4 Combine like terms: 47 + 4 = 51 4x = 51 Divide each side by '4'. x = 12.75 Simplifying x = 12.75
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