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Simplifying 3x + 4 = 4(2x + -9) Reorder the terms: 4 + 3x = 4(2x + -9) Reorder the terms: 4 + 3x = 4(-9 + 2x) 4 + 3x = (-9 * 4 + 2x * 4) 4 + 3x = (-36 + 8x) Solving 4 + 3x = -36 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4 + 3x + -8x = -36 + 8x + -8x Combine like terms: 3x + -8x = -5x 4 + -5x = -36 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + -5x = -36 + 0 4 + -5x = -36 Add '-4' to each side of the equation. 4 + -4 + -5x = -36 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = -36 + -4 -5x = -36 + -4 Combine like terms: -36 + -4 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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