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Simplifying 5 + 6[5(3x + 20) + 2(5x + 11)] = 5 + -2[4(x + 2) + 3(7x + 42)] Reorder the terms: 5 + 6[5(20 + 3x) + 2(5x + 11)] = 5 + -2[4(x + 2) + 3(7x + 42)] 5 + 6[(20 * 5 + 3x * 5) + 2(5x + 11)] = 5 + -2[4(x + 2) + 3(7x + 42)] 5 + 6[(100 + 15x) + 2(5x + 11)] = 5 + -2[4(x + 2) + 3(7x + 42)] Reorder the terms: 5 + 6[100 + 15x + 2(11 + 5x)] = 5 + -2[4(x + 2) + 3(7x + 42)] 5 + 6[100 + 15x + (11 * 2 + 5x * 2)] = 5 + -2[4(x + 2) + 3(7x + 42)] 5 + 6[100 + 15x + (22 + 10x)] = 5 + -2[4(x + 2) + 3(7x + 42)] Reorder the terms: 5 + 6[100 + 22 + 15x + 10x] = 5 + -2[4(x + 2) + 3(7x + 42)] Combine like terms: 100 + 22 = 122 5 + 6[122 + 15x + 10x] = 5 + -2[4(x + 2) + 3(7x + 42)] Combine like terms: 15x + 10x = 25x 5 + 6[122 + 25x] = 5 + -2[4(x + 2) + 3(7x + 42)] 5 + [122 * 6 + 25x * 6] = 5 + -2[4(x + 2) + 3(7x + 42)] 5 + [732 + 150x] = 5 + -2[4(x + 2) + 3(7x + 42)] Combine like terms: 5 + 732 = 737 737 + 150x = 5 + -2[4(x + 2) + 3(7x + 42)] Reorder the terms: 737 + 150x = 5 + -2[4(2 + x) + 3(7x + 42)] 737 + 150x = 5 + -2[(2 * 4 + x * 4) + 3(7x + 42)] 737 + 150x = 5 + -2[(8 + 4x) + 3(7x + 42)] Reorder the terms: 737 + 150x = 5 + -2[8 + 4x + 3(42 + 7x)] 737 + 150x = 5 + -2[8 + 4x + (42 * 3 + 7x * 3)] 737 + 150x = 5 + -2[8 + 4x + (126 + 21x)] Reorder the terms: 737 + 150x = 5 + -2[8 + 126 + 4x + 21x] Combine like terms: 8 + 126 = 134 737 + 150x = 5 + -2[134 + 4x + 21x] Combine like terms: 4x + 21x = 25x 737 + 150x = 5 + -2[134 + 25x] 737 + 150x = 5 + [134 * -2 + 25x * -2] 737 + 150x = 5 + [-268 + -50x] Combine like terms: 5 + -268 = -263 737 + 150x = -263 + -50x Solving 737 + 150x = -263 + -50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50x' to each side of the equation. 737 + 150x + 50x = -263 + -50x + 50x Combine like terms: 150x + 50x = 200x 737 + 200x = -263 + -50x + 50x Combine like terms: -50x + 50x = 0 737 + 200x = -263 + 0 737 + 200x = -263 Add '-737' to each side of the equation. 737 + -737 + 200x = -263 + -737 Combine like terms: 737 + -737 = 0 0 + 200x = -263 + -737 200x = -263 + -737 Combine like terms: -263 + -737 = -1000 200x = -1000 Divide each side by '200'. x = -5 Simplifying x = -5
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