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Simplifying 16x + -1[3x + -1(6 + -9)] = 30x + [-1(3x + 2) + -1(x + 3)] Combine like terms: 6 + -9 = -3 16x + -1[3x + -1(-3)] = 30x + [-1(3x + 2) + -1(x + 3)] Multiply -1 * -3 16x + -1[3x + 3] = 30x + [-1(3x + 2) + -1(x + 3)] Reorder the terms: 16x + -1[3 + 3x] = 30x + [-1(3x + 2) + -1(x + 3)] 16x + [3 * -1 + 3x * -1] = 30x + [-1(3x + 2) + -1(x + 3)] 16x + [-3 + -3x] = 30x + [-1(3x + 2) + -1(x + 3)] Reorder the terms: -3 + 16x + -3x = 30x + [-1(3x + 2) + -1(x + 3)] Combine like terms: 16x + -3x = 13x -3 + 13x = 30x + [-1(3x + 2) + -1(x + 3)] Reorder the terms: -3 + 13x = 30x + [-1(2 + 3x) + -1(x + 3)] -3 + 13x = 30x + [(2 * -1 + 3x * -1) + -1(x + 3)] -3 + 13x = 30x + [(-2 + -3x) + -1(x + 3)] Reorder the terms: -3 + 13x = 30x + [-2 + -3x + -1(3 + x)] -3 + 13x = 30x + [-2 + -3x + (3 * -1 + x * -1)] -3 + 13x = 30x + [-2 + -3x + (-3 + -1x)] Reorder the terms: -3 + 13x = 30x + [-2 + -3 + -3x + -1x] Combine like terms: -2 + -3 = -5 -3 + 13x = 30x + [-5 + -3x + -1x] Combine like terms: -3x + -1x = -4x -3 + 13x = 30x + [-5 + -4x] Remove brackets around [-5 + -4x] -3 + 13x = 30x + -5 + -4x Reorder the terms: -3 + 13x = -5 + 30x + -4x Combine like terms: 30x + -4x = 26x -3 + 13x = -5 + 26x Solving -3 + 13x = -5 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. -3 + 13x + -26x = -5 + 26x + -26x Combine like terms: 13x + -26x = -13x -3 + -13x = -5 + 26x + -26x Combine like terms: 26x + -26x = 0 -3 + -13x = -5 + 0 -3 + -13x = -5 Add '3' to each side of the equation. -3 + 3 + -13x = -5 + 3 Combine like terms: -3 + 3 = 0 0 + -13x = -5 + 3 -13x = -5 + 3 Combine like terms: -5 + 3 = -2 -13x = -2 Divide each side by '-13'. x = 0.1538461538 Simplifying x = 0.1538461538
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