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Simplifying 4(5x + -9) = 12x + 4 Reorder the terms: 4(-9 + 5x) = 12x + 4 (-9 * 4 + 5x * 4) = 12x + 4 (-36 + 20x) = 12x + 4 Reorder the terms: -36 + 20x = 4 + 12x Solving -36 + 20x = 4 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -36 + 20x + -12x = 4 + 12x + -12x Combine like terms: 20x + -12x = 8x -36 + 8x = 4 + 12x + -12x Combine like terms: 12x + -12x = 0 -36 + 8x = 4 + 0 -36 + 8x = 4 Add '36' to each side of the equation. -36 + 36 + 8x = 4 + 36 Combine like terms: -36 + 36 = 0 0 + 8x = 4 + 36 8x = 4 + 36 Combine like terms: 4 + 36 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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