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Simplifying 7x + 3 + [10 + (x + 6)] = x + [-3x + (8 + -3x)] + 2 Reorder the terms: 7x + 3 + [10 + (6 + x)] = x + [-3x + (8 + -3x)] + 2 Remove parenthesis around (6 + x) 7x + 3 + [10 + 6 + x] = x + [-3x + (8 + -3x)] + 2 Combine like terms: 10 + 6 = 16 7x + 3 + [16 + x] = x + [-3x + (8 + -3x)] + 2 Remove brackets around [16 + x] 7x + 3 + 16 + x = x + [-3x + (8 + -3x)] + 2 Reorder the terms: 3 + 16 + 7x + x = x + [-3x + (8 + -3x)] + 2 Combine like terms: 3 + 16 = 19 19 + 7x + x = x + [-3x + (8 + -3x)] + 2 Combine like terms: 7x + x = 8x 19 + 8x = x + [-3x + (8 + -3x)] + 2 Remove parenthesis around (8 + -3x) 19 + 8x = x + [-3x + 8 + -3x] + 2 Reorder the terms: 19 + 8x = x + [8 + -3x + -3x] + 2 Combine like terms: -3x + -3x = -6x 19 + 8x = x + [8 + -6x] + 2 Remove brackets around [8 + -6x] 19 + 8x = x + 8 + -6x + 2 Reorder the terms: 19 + 8x = 8 + 2 + x + -6x Combine like terms: 8 + 2 = 10 19 + 8x = 10 + x + -6x Combine like terms: x + -6x = -5x 19 + 8x = 10 + -5x Solving 19 + 8x = 10 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 19 + 8x + 5x = 10 + -5x + 5x Combine like terms: 8x + 5x = 13x 19 + 13x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 19 + 13x = 10 + 0 19 + 13x = 10 Add '-19' to each side of the equation. 19 + -19 + 13x = 10 + -19 Combine like terms: 19 + -19 = 0 0 + 13x = 10 + -19 13x = 10 + -19 Combine like terms: 10 + -19 = -9 13x = -9 Divide each side by '13'. x = -0.6923076923 Simplifying x = -0.6923076923
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