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Simplifying 2(-3x + 5) = 4[-4x + 5(-1x + 3)] Reorder the terms: 2(5 + -3x) = 4[-4x + 5(-1x + 3)] (5 * 2 + -3x * 2) = 4[-4x + 5(-1x + 3)] (10 + -6x) = 4[-4x + 5(-1x + 3)] Reorder the terms: 10 + -6x = 4[-4x + 5(3 + -1x)] 10 + -6x = 4[-4x + (3 * 5 + -1x * 5)] 10 + -6x = 4[-4x + (15 + -5x)] Reorder the terms: 10 + -6x = 4[15 + -4x + -5x] Combine like terms: -4x + -5x = -9x 10 + -6x = 4[15 + -9x] 10 + -6x = [15 * 4 + -9x * 4] 10 + -6x = [60 + -36x] Solving 10 + -6x = 60 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. 10 + -6x + 36x = 60 + -36x + 36x Combine like terms: -6x + 36x = 30x 10 + 30x = 60 + -36x + 36x Combine like terms: -36x + 36x = 0 10 + 30x = 60 + 0 10 + 30x = 60 Add '-10' to each side of the equation. 10 + -10 + 30x = 60 + -10 Combine like terms: 10 + -10 = 0 0 + 30x = 60 + -10 30x = 60 + -10 Combine like terms: 60 + -10 = 50 30x = 50 Divide each side by '30'. x = 1.666666667 Simplifying x = 1.666666667
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