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Simplifying 4(2x + -9) = 3x + 4 Reorder the terms: 4(-9 + 2x) = 3x + 4 (-9 * 4 + 2x * 4) = 3x + 4 (-36 + 8x) = 3x + 4 Reorder the terms: -36 + 8x = 4 + 3x Solving -36 + 8x = 4 + 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. -36 + 8x + -3x = 4 + 3x + -3x Combine like terms: 8x + -3x = 5x -36 + 5x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 -36 + 5x = 4 + 0 -36 + 5x = 4 Add '36' to each side of the equation. -36 + 36 + 5x = 4 + 36 Combine like terms: -36 + 36 = 0 0 + 5x = 4 + 36 5x = 4 + 36 Combine like terms: 4 + 36 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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