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Simplifying 4(2x + -4) + 12 = 3x + 75 Reorder the terms: 4(-4 + 2x) + 12 = 3x + 75 (-4 * 4 + 2x * 4) + 12 = 3x + 75 (-16 + 8x) + 12 = 3x + 75 Reorder the terms: -16 + 12 + 8x = 3x + 75 Combine like terms: -16 + 12 = -4 -4 + 8x = 3x + 75 Reorder the terms: -4 + 8x = 75 + 3x Solving -4 + 8x = 75 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + 8x + -3x = 75 + 3x + -3x Combine like terms: 8x + -3x = 5x -4 + 5x = 75 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 5x = 75 + 0 -4 + 5x = 75 Add '4' to each side of the equation. -4 + 4 + 5x = 75 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = 75 + 4 5x = 75 + 4 Combine like terms: 75 + 4 = 79 5x = 79 Divide each side by '5'. x = 15.8 Simplifying x = 15.8
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