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Simplifying 5(3x + 4) = 4(2x + -9) Reorder the terms: 5(4 + 3x) = 4(2x + -9) (4 * 5 + 3x * 5) = 4(2x + -9) (20 + 15x) = 4(2x + -9) Reorder the terms: 20 + 15x = 4(-9 + 2x) 20 + 15x = (-9 * 4 + 2x * 4) 20 + 15x = (-36 + 8x) Solving 20 + 15x = -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. 20 + 15x + -8x = -36 + 8x + -8x Combine like terms: 15x + -8x = 7x 20 + 7x = -36 + 8x + -8x Combine like terms: 8x + -8x = 0 20 + 7x = -36 + 0 20 + 7x = -36 Add '-20' to each side of the equation. 20 + -20 + 7x = -36 + -20 Combine like terms: 20 + -20 = 0 0 + 7x = -36 + -20 7x = -36 + -20 Combine like terms: -36 + -20 = -56 7x = -56 Divide each side by '7'. x = -8 Simplifying x = -8
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