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Simplifying 2(5x + 4) = -3(4x + 3) + 20x Reorder the terms: 2(4 + 5x) = -3(4x + 3) + 20x (4 * 2 + 5x * 2) = -3(4x + 3) + 20x (8 + 10x) = -3(4x + 3) + 20x Reorder the terms: 8 + 10x = -3(3 + 4x) + 20x 8 + 10x = (3 * -3 + 4x * -3) + 20x 8 + 10x = (-9 + -12x) + 20x Combine like terms: -12x + 20x = 8x 8 + 10x = -9 + 8x Solving 8 + 10x = -9 + 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. 8 + 10x + -8x = -9 + 8x + -8x Combine like terms: 10x + -8x = 2x 8 + 2x = -9 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + 2x = -9 + 0 8 + 2x = -9 Add '-8' to each side of the equation. 8 + -8 + 2x = -9 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = -9 + -8 2x = -9 + -8 Combine like terms: -9 + -8 = -17 2x = -17 Divide each side by '2'. x = -8.5 Simplifying x = -8.5
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