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Simplifying -5[2 + -3x] = 3[1 + -5x] + 1 [2 * -5 + -3x * -5] = 3[1 + -5x] + 1 [-10 + 15x] = 3[1 + -5x] + 1 -10 + 15x = [1 * 3 + -5x * 3] + 1 -10 + 15x = [3 + -15x] + 1 Reorder the terms: -10 + 15x = 3 + 1 + -15x Combine like terms: 3 + 1 = 4 -10 + 15x = 4 + -15x Solving -10 + 15x = 4 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -10 + 15x + 15x = 4 + -15x + 15x Combine like terms: 15x + 15x = 30x -10 + 30x = 4 + -15x + 15x Combine like terms: -15x + 15x = 0 -10 + 30x = 4 + 0 -10 + 30x = 4 Add '10' to each side of the equation. -10 + 10 + 30x = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 30x = 4 + 10 30x = 4 + 10 Combine like terms: 4 + 10 = 14 30x = 14 Divide each side by '30'. x = 0.4666666667 Simplifying x = 0.4666666667
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