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Simplifying 2[2(3 + -5x) + 4] = 5[3(3 + -3x) + 2] 2[(3 * 2 + -5x * 2) + 4] = 5[3(3 + -3x) + 2] 2[(6 + -10x) + 4] = 5[3(3 + -3x) + 2] Reorder the terms: 2[6 + 4 + -10x] = 5[3(3 + -3x) + 2] Combine like terms: 6 + 4 = 10 2[10 + -10x] = 5[3(3 + -3x) + 2] [10 * 2 + -10x * 2] = 5[3(3 + -3x) + 2] [20 + -20x] = 5[3(3 + -3x) + 2] 20 + -20x = 5[(3 * 3 + -3x * 3) + 2] 20 + -20x = 5[(9 + -9x) + 2] Reorder the terms: 20 + -20x = 5[9 + 2 + -9x] Combine like terms: 9 + 2 = 11 20 + -20x = 5[11 + -9x] 20 + -20x = [11 * 5 + -9x * 5] 20 + -20x = [55 + -45x] Solving 20 + -20x = 55 + -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. 20 + -20x + 45x = 55 + -45x + 45x Combine like terms: -20x + 45x = 25x 20 + 25x = 55 + -45x + 45x Combine like terms: -45x + 45x = 0 20 + 25x = 55 + 0 20 + 25x = 55 Add '-20' to each side of the equation. 20 + -20 + 25x = 55 + -20 Combine like terms: 20 + -20 = 0 0 + 25x = 55 + -20 25x = 55 + -20 Combine like terms: 55 + -20 = 35 25x = 35 Divide each side by '25'. x = 1.4 Simplifying x = 1.4
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